diff --git a/doc/rst/source/explain_-B.rst_ b/doc/rst/source/explain_-B.rst_
index 136194d1bc7..95e32b6374e 100644
--- a/doc/rst/source/explain_-B.rst_
+++ b/doc/rst/source/explain_-B.rst_
@@ -95,7 +95,7 @@ The Axes settings are specified by
 
 but you may also split this into two separate invocations for clarity, i.e.,
 
-   | **-B**\ [**p**\|\ **s**][**x**\|\ **y**\|\ **z**][**+a**\ *angle*\|\ **n**\|\ **p**][**+f**]\
+   | **-B**\ [**p**\|\ **s**][**x**\|\ **y**\|\ **z**][**+a**\ *angle*\|\ **n**\|\ **p**][**+e**\ [**l**\|\ **u**]][**+f**]\
      [**+l**\|\ **L**\ *label*][**+p**\ *prefix*][**+s**\|\ **S**\ *seclabel*][**+u**\ *unit*]
    | **-B**\ [**p**\|\ **s**][**x**\|\ **y**\|\ **z**]\ *intervals*
 
@@ -110,6 +110,8 @@ The following modifiers can be appended to **-B** to control the Axes settings:
 - **x**\|\ **y**\|\ **z** to set which axes the modifiers apply to [default is **xy**]. If you wish to give different
   annotation intervals or labels for the various axes then you must repeat the **B** option for each axis. For a
   3-D plot with the **-p** and **-Jz** options used, **-Bz** can be used to provide settings for the verical axis.
+- **+e** to give skip annotations that fall exactly at the ends of the axis.  Append **l** or **u** to only
+  skip the lower or upper annotation, respectively.
 - **+f** (for geographic axes only) to give fancy annotations with W\|\ E\|\ S\|\ N suffices encoding the sign.
 - **+l**\|\ **+L**\ *label* (for Cartesian plots only) to add a label to an axis. **+l** uses the default
   label orientation; **+L** forces a horizontal label for *y*-axes, which is useful for very short labels.
diff --git a/src/gmt_constants.h b/src/gmt_constants.h
index 570ce6ccba1..0b963b4be0a 100644
--- a/src/gmt_constants.h
+++ b/src/gmt_constants.h
@@ -340,6 +340,11 @@ enum GMT_time_period {
 /* Valid options to psconvert from figure and begin */
 #define GMT_PSCONVERT_LIST "ACDEHIMNQS"
 
+/* Valid frame setting modifiers */
+#define GMT_FRAME_MODIFIERS "bginotwxyz"
+/* Valid axis setting modifiers */
+#define GMT_AXIS_MODIFIERS "aefLlpsSu"
+
 /* Settings for usage message indents and break/continue characters */
 
 #define GMT_LINE_BREAK	"\xe2\x8f\x8e"	/* Glyph for return symbol in UTF-8 */
diff --git a/src/gmt_init.c b/src/gmt_init.c
index 871708501fa..c8e4223cb7f 100644
--- a/src/gmt_init.c
+++ b/src/gmt_init.c
@@ -4367,9 +4367,10 @@ GMT_LOCAL int gmtinit_parse5_B_option (struct GMT_CTRL *GMT, char *in) {
 	 * Axis settings:
 	 * 	-B[p|s][x|y|z]<info>
 	 *   where <info> is of the format
-	 * 	<intervals>[+a<angle>|n|p][+L|l<label>][+S|s<altlabel>][+p<prefix>][+u<unit>]
+	 * 	<intervals>[+a<angle>|n|p][+e[l|u]][+L|l<label>][+S|s<altlabel>][+p<prefix>][+u<unit>]
 	 *   and each <intervals> is a concatenation of one or more [t][value]
 	 *    		+a<angle> sets a fixed annotation angle with respect to axis (Cartesian only), n or p for normal or parallel
+	 *    		+e[l|u] tells GMT to not plot an annotation at the lower and|or upper end of an axis [both are plotted]
 	 *    		+l<label> as labels for the respective axes [none]. Use +L for only horizontal labels
 	 *    		+s<altlabel> as alternate label for the far axis [same as <label>]. Use +S for only horizontal labels
 	 *    		+u<unit> as as annotation suffix unit [none].
@@ -4404,7 +4405,7 @@ GMT_LOCAL int gmtinit_parse5_B_option (struct GMT_CTRL *GMT, char *in) {
 	if ((error = gmtinit_parse5_B_frame_setting (GMT, in)) >= 0) return (error);	/* Parsed the -B frame settings separately */
 	error = 0;	/* Reset since otherwise it is -1 */
 
-	if (gmt_found_modifier (GMT, in, "bginotwxyz")) {
+	if (gmt_found_modifier (GMT, in, GMT_FRAME_MODIFIERS)) {
 		GMT_Report (GMT->parent, GMT_MSG_ERROR, "Option -B: Found frame setting modifiers (+b|g|i|n|o|t|w|x|y|z) mixed with axes settings!\n");
 		return (GMT_PARSE_ERROR);
 	}
@@ -4438,9 +4439,9 @@ GMT_LOCAL int gmtinit_parse5_B_option (struct GMT_CTRL *GMT, char *in) {
 	GMT->current.map.frame.axis[GMT_Z].angle = 0.0;	/* Default is plotting normal to axis for Z, i.e., will look horizontal on the plot */
 	GMT->current.map.frame.axis[GMT_Z].use_angle = true;
 	strncpy (text, &in[k], GMT_BUFSIZ-1);	/* Make a copy of the input, starting after the leading -B[p|s][xyz] indicators */
-	gmt_handle5_plussign (GMT, text, "afLlpsSu", 0);	/* Temporarily change any +<letter> except +L|l, +f, +p, +S|s, +u to ASCII 1 to avoid interference with +modifiers */
-	k = 0;					/* Start at beginning of text and look for first occurrence of +L|l, +f, +p, +S|s or +u */
-	while (text[k] && !(text[k] == '+' && strchr ("afLlpSsu", text[k+1]))) k++;
+	gmt_handle5_plussign (GMT, text, GMT_AXIS_MODIFIERS, 0);	/* Temporarily change any +<letter> except +L|l, +f, +p, +S|s, +u to ASCII 1 to avoid interference with +modifiers */
+	k = 0;					/* Start at beginning of text and look for first occurrence of +L|l, +e, +f, +p, +S|s or +u */
+	while (text[k] && !(text[k] == '+' && strchr (GMT_AXIS_MODIFIERS, text[k+1]))) k++;
 	gmt_M_memset (orig_string, GMT_BUFSIZ, char);
 	strncpy (orig_string, text, k);		/* orig_string now has the interval information */
 	gmt_handle5_plussign (GMT, orig_string, NULL, 1);	/* Recover any non-modifier plus signs */
@@ -4498,6 +4499,17 @@ GMT_LOCAL int gmtinit_parse5_B_option (struct GMT_CTRL *GMT, char *in) {
 						else
 							GMT_Report (GMT->parent, GMT_MSG_WARNING, "Option -B: Cannot use +f for Cartesian axes - modifier ignored\n");
 						break;
+					case 'e':	/* Turn off end annotations if within distance of axis en */
+							switch (p[1]) {	/* See if lower or upper was specified, or default to both */
+								case 'l': GMT->current.map.frame.axis[no].skip[0] = true; break;
+								case 'u': GMT->current.map.frame.axis[no].skip[1] = true; break;
+								case '\0': GMT->current.map.frame.axis[no].skip[0] = GMT->current.map.frame.axis[no].skip[1] = true; break;
+								default:
+									GMT_Report (GMT->parent, GMT_MSG_WARNING, "Option -B: Unrecognized argument to modifier +e (%s). Syntax is +e[l|u].\n", &p[1]);
+									error++;
+									break;
+						}
+						break;
 					case 'L':	/* Force horizontal axis label */
 						GMT->current.map.frame.axis[no].label_mode = 1;
 						/* Intentionally fall through - to 'l' */
@@ -7138,7 +7150,7 @@ void gmtlib_explain_options (struct GMT_CTRL *GMT, char *options) {
 				"The full axes specification is");
 			GMT_Usage (API, 3, "-B[p|s][x|y|z]<intervals>[+a<angle>|n|p][+f][+l|L<label>][+p<prefix>][+s|S<secondary_label>][+u<unit>");
 			GMT_Usage (API, -2, "Alternatively, you may break this syntax into two separate -B options:");
-			GMT_Usage (API, 3, "-B[p|s][x|y|z][+a<angle>|n|p][+f][+l|L<label>][+p<prefix>][+s|S<secondary_label>][+u<unit>]");
+			GMT_Usage (API, 3, "-B[p|s][x|y|z][+a<angle>|n|p][+e[l|u]][+f][+l|L<label>][+p<prefix>][+s|S<secondary_label>][+u<unit>]");
 			GMT_Usage (API, 3, "-B[p|s][x|y|z]<intervals>");
 			GMT_Usage (API, -2, "There are two levels of annotations: Primary and secondary (most situations only require primary). "
 				"The -B[p] sets (p)rimary (more frequent) annotations while -Bs sets (s)econdary (less frequent) annotations. "
@@ -7182,9 +7194,8 @@ void gmtlib_explain_options (struct GMT_CTRL *GMT, char *options) {
 				"When <stride> is omitted, a reasonable value will be determined automatically, e.g., -Bafg. "
 				"Log10 axis: Append l to annotate log10 (value) or p for 10^(log10(value)) [Default annotates value]. "
 				"Power axis: Append p to annotate value at equidistant pow increments [Default is nonlinear]. Optional modifiers: ");
-			GMT_Usage (API, 3, "+p Prepend <prefix> to each annotation (e.g., $ 10, $ 20 ...).");
-			GMT_Usage (API, 3, "+u Append <unit> to each annotation (e.g., 5 km, 10 km ...).");
 			GMT_Usage (API, 3, "+a Append <angle> for slanted or use +an|p for orthogonal|parallel annotations [+ap].");
+			GMT_Usage (API, 3, "+e Skip annotation that land exactly at one (append l or u) or both ends of the axis [no skipping].");
 			GMT_Usage (API, 3, "+f Let geographic axes place \"fancy\" annotations with W|E|S|N suffices.");
 			GMT_Usage (API, 3, "+l Place <label> for the axis.  Use +L to enforce horizontal labels for y-axes. "
 				"For another axis label on the opposite axis, use +s|S as well. "
@@ -7194,6 +7205,8 @@ void gmtlib_explain_options (struct GMT_CTRL *GMT, char *options) {
 				"A <label> may contain LaTeX code enclosed by @[ .... @[  (or alternatively <math> ... </math>). "
 				"Using LaTeX expressions requires you to have a functioning latex and dvips installation, including required fonts. "
 				"Geographic map annotations will automatically have degree, minute, seconds units.");
+			GMT_Usage (API, 3, "+p Prepend <prefix> to each annotation (e.g., $ 10, $ 20 ...).");
+			GMT_Usage (API, 3, "+u Append <unit> to each annotation (e.g., 5 km, 10 km ...).");
 			GMT_Usage (API, -2, "See basemap documentation for more details and examples of all settings.");
 			break;
 
@@ -7203,7 +7216,7 @@ void gmtlib_explain_options (struct GMT_CTRL *GMT, char *options) {
 			GMT_Usage (API, 2, "Frame settings are modified via an optional single invocation of "
 				"-B[<axes>][+b][+g<fill>][+i[<val>]][+n][+o<lon>/<lat>][+s<subtitle>][+t<title>][+w[<pen>]][+x<fill>][+y<fill>][+z<fill>]");
 			GMT_Usage (API, 2, "Axes parameters are specified via one or more invocations of "
-				"-B[p|s][x|y|z]<intervals>[+a<angle>|n|p][+f][+l|L<label>][+p<prefix>][+s|S<secondary_label>][+u<unit>");
+				"-B[p|s][x|y|z]<intervals>[+a<angle>|n|p][+e[l|u]][+f][+l|L<label>][+p<prefix>][+s|S<secondary_label>][+u<unit>");
 			GMT_Usage (API, -2, "<intervals> is composed of concatenated [<type>]<stride>[l|p] sub-strings. "
 				"See basemap documentation for more details and examples of all settings.");
 			break;
@@ -17386,7 +17399,7 @@ int gmt_parse_common_options (struct GMT_CTRL *GMT, char *list, char option, cha
 				if (GMT->current.setting.run_mode == GMT_MODERN && (!GMT->current.map.frame.set[GMT_X] || !GMT->current.map.frame.set[GMT_Y] || (GMT->common.J.zactive && !GMT->current.map.frame.set[GMT_Z]))) {
 					char code[2], args[GMT_LEN256] = {""}, *c = strchr (item, '+');	/* Start of modifiers, if any */
 					if (item[q] && strstr (item, "+f")) GMT->current.plot.calclock.geo.wesn = 1;	/* Got +f, so enable W|E|S|N suffices */
-					if (c && strchr ("aflLsSu", c[1]))	/* We got the ones suitable for axes that we can chop off */
+					if (c && strchr (GMT_AXIS_MODIFIERS, c[1]))	/* We got the ones suitable for axes that we can chop off */
 						c[0] = '\0';	/* Temporarily chop off these modifiers only */
 					code[0] = item[q]; code[1] = (item[q]) ? item[q+1] : '\0';
 					if (c) c[0] = '+';	/* Restore modifiers */
diff --git a/src/gmt_parse.c b/src/gmt_parse.c
index 81b1d0307ed..e6f32799fc2 100644
--- a/src/gmt_parse.c
+++ b/src/gmt_parse.c
@@ -503,7 +503,7 @@ GMT_LOCAL struct GMT_OPTION * gmtparse_ensure_b_and_dash_options_order (struct G
 				this_priority = 2;
 			n_B++;
 		}
-		else if ((c = gmt_first_modifier (GMT, opt->arg, "aflLpsSu"))) {	/* Option has axis modifier(s) */
+		else if ((c = gmt_first_modifier (GMT, opt->arg, GMT_AXIS_MODIFIERS))) {	/* Option has axis modifier(s) */
 			c[0] = '\0';	/* Temporary chop them off */
 			j = 0;	/* Start of option string, then advance past any leading [p|s][x|y|z] */
 			if (strchr ("ps",  opt->arg[j])) j++;
diff --git a/src/gmt_plot.c b/src/gmt_plot.c
index bfd9c659e0f..266dc6c89e5 100644
--- a/src/gmt_plot.c
+++ b/src/gmt_plot.c
@@ -1771,6 +1771,14 @@ GMT_LOCAL double gmtplot_curved_boundary_offset (struct GMT_CTRL *GMT, double lo
 	return boost;
 }
 
+GMT_LOCAL bool gmtplot_skip_end_annotation (struct GMT_CTRL *GMT, unsigned int axis, double x, double length) {
+	/* Returns true if this is an annotation at the end of the axis and we are either in GMT_IS_INSIDE mode or user added modifer +e[l|u] to the axis annotation settings */
+	if (GMT->current.map.frame.axis[axis].skip[0] && fabs (x) < GMT_CONV4_LIMIT) return true;   /* Skip annotation if it falls ~exactly at the start of the axis */
+	if (GMT->current.map.frame.axis[axis].skip[1] && fabs (x - length) < GMT_CONV4_LIMIT) return true;   /* Skip annotation if t falls ~exactly at the end of the axis */
+	if (GMT->current.setting.map_frame_type & GMT_IS_INSIDE && (fabs (x) < GMT_CONV4_LIMIT || fabs (x - length) < GMT_CONV4_LIMIT)) return true;   /* Skip annotation on edges when MAP_FRAME_TYPE = inside */
+	return false;	/* No, let's plot it */
+}
+
 GMT_LOCAL void gmtplot_map_symbol (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, struct GMT_XINGS *xings, char *label, unsigned int type, bool annot, unsigned int level, unsigned int form) {
 	/* type = 0 for lon and 1 for lat */
 
@@ -1807,7 +1815,10 @@ GMT_LOCAL void gmtplot_map_symbol (struct GMT_CTRL *GMT, struct PSL_CTRL *PSL, s
 		}
 
 		if (annot) {
+			double length = (type == GMT_X) ? GMT->current.map.width : GMT->current.map.height;
+			double pos = (type == GMT_X) ? xx[i] : yy[i];
 			if (gmtplot_annot_too_crowded (GMT, xx[i], yy[i], sides[i])) continue;
+			if (gmtplot_skip_end_annotation (GMT, type, pos, length)) continue;	/* Don't want annotations exactly at one or both ends of the axis */
 			if (GMT->current.proj.three_D && GMT->current.proj.z_project.cos_az > 0) {	/* Rotate annotation when seen "from North" */
 				if (!flip) justify = gmt_flip_justify (GMT, justify);
 				text_angle += 180.0;
@@ -5570,7 +5581,6 @@ void gmt_xy_axis (struct GMT_CTRL *GMT, double x0, double y0, double length, dou
 			for (i = 0; i < nx; i++) {
 				x = (*xyz_fwd) (GMT, knots[i]);	/* Convert to inches on the page */
 				if (x < (- GMT_CONV4_LIMIT) || x > (length + GMT_CONV4_LIMIT)) continue;	/* Outside the range */
-				if (GMT->current.setting.map_frame_type & GMT_IS_INSIDE && (fabs (x) < GMT_CONV4_LIMIT || fabs (x - length) < GMT_CONV4_LIMIT)) continue;	/* Skip annotation on edges when MAP_FRAME_TYPE = inside */
 				if (gmtplot_skip_second_annot (k, knots[i], knots_p, np, primary)) continue;	/* Minor tick marks skipped when coinciding with major */
 				if (horizontal)
 					PSL_plotsegment (PSL, x, 0.0, x, ((neg) ? -1.0 : 1.0) * GMT->current.setting.map_tick_length[k]);
@@ -5597,7 +5607,7 @@ void gmt_xy_axis (struct GMT_CTRL *GMT, double x0, double y0, double length, dou
 				if (gmtlib_annot_pos (GMT, val0, val1, T, &knots[i], &t_use)) continue;			/* Outside range */
 				if (axis == GMT_Z && fabs (knots[i] - GMT->current.proj.z_level) < GMT_CONV8_LIMIT) continue;	/* Skip z annotation coinciding with z-level plane */
 				x = (*xyz_fwd) (GMT, knots[i]);	/* Convert to inches on the page */
-				if (GMT->current.setting.map_frame_type & GMT_IS_INSIDE && (fabs (x) < GMT_CONV4_LIMIT || fabs (x - length) < GMT_CONV4_LIMIT)) continue;	/* Skip annotation on edges when MAP_FRAME_TYPE = inside */
+				if (gmtplot_skip_end_annotation (GMT, axis, x, length)) continue;	/* Don't want annotations exactly at one or both ends of the axis */
 				if (!is_interval && gmtplot_skip_second_annot (k, knots[i], knots_p, np, primary)) continue;	/* Secondary annotation skipped when coinciding with primary annotation */
 				if (label_c && label_c[i] && label_c[i][0]) {
 					strncpy (string, label_c[i], GMT_LEN256-1);
@@ -5636,7 +5646,7 @@ void gmt_xy_axis (struct GMT_CTRL *GMT, double x0, double y0, double length, dou
 				if (gmtlib_annot_pos (GMT, val0, val1, T, &knots[i], &t_use)) continue;			/* Outside range */
 				if (axis == GMT_Z && fabs (knots[i] - GMT->current.proj.z_level) < GMT_CONV8_LIMIT) continue;	/* Skip z annotation coinciding with z-level plane */
 				x = (*xyz_fwd) (GMT, t_use);	/* Convert to inches on the page */
-				if (GMT->current.setting.map_frame_type & GMT_IS_INSIDE && (fabs (x) < GMT_CONV4_LIMIT || fabs (x - length) < GMT_CONV4_LIMIT)) continue;	/* Skip annotation on edges when MAP_FRAME_TYPE = inside */
+				if (gmtplot_skip_end_annotation (GMT, axis, x, length)) continue;	/* Don't want annotations exactly at one or both ends of the axis */
 				if (!is_interval && gmtplot_skip_second_annot (k, knots[i], knots_p, np, primary)) continue;	/* Secondary annotation skipped when coinciding with primary annotation */
 				/* Move to new anchor point */
 				PSL_command (PSL, "%d PSL_A%d_y MM\n", PSL_IZ (PSL, x), annot_pos);
diff --git a/src/gmt_project.h b/src/gmt_project.h
index ec67c8c9606..4529931ecdc 100644
--- a/src/gmt_project.h
+++ b/src/gmt_project.h
@@ -499,6 +499,7 @@ struct GMT_PLOT_AXIS {		/* Information for one time axis */
 	unsigned int label_mode;	/* 0 = parallel to all axes, 1 = always horizontal on map */
 	bool substitute_pi;		/* True if we need to plot fractions of pi on this axis */
 	bool use_angle;			/* True if we got +a<angle>|n|p for this axis */
+	bool skip[2];			/* Determins if we skip annotations at the lower or upper bounds of an axis [false/false] */
 	struct GMT_PLOT_AXIS_ITEM item[8];	/* see above defines for which is which */
 	double phase;			/* Phase offset for strides: (knot-phase)%interval = 0  */
 	double angle;			/* Annotations angle set by user */
diff --git a/test/psbasemap/skipannots.ps b/test/psbasemap/skipannots.ps
new file mode 100644
index 00000000000..c7848b076f6
Binary files /dev/null and b/test/psbasemap/skipannots.ps differ
diff --git a/test/psbasemap/skipannots.sh b/test/psbasemap/skipannots.sh
new file mode 100755
index 00000000000..e7306becba0
--- /dev/null
+++ b/test/psbasemap/skipannots.sh
@@ -0,0 +1,19 @@
+#!/usr/bin/env bash
+# Test the new +e modifier to -B
+gmt begin skipannots ps
+  gmt set MAP_FRAME_TYPE plain PS_MEDIA letter
+  echo "-Bx -By" | gmt text -R0/80/0/30 -Jx0.1c -Bx -By -F+cCM+f14p -Y1.25c
+  echo "-Bx+e -By" | gmt text -Bx+e -By -Y3.75c -F+cCM+f14p
+  echo "-Bx+el -By" | gmt text -Bx+el -By -Y3.75c -F+cCM+f14p
+  echo "-Bx+eu -By" | gmt text -Bx+eu -By -Y3.75c -F+cCM+f14p
+  echo "-Bx -By+e" | gmt text -Bx -By+e -Y3.75c -F+cCM+f14p
+  echo "-Bx -By+el" | gmt text -Bx -By+el -Y3.75c -F+cCM+f14p
+  echo "-Bx -By+eu" | gmt text -Bx -By+eu -Y3.75c -F+cCM+f14p
+  echo "-Bx -By" | gmt text -R0/60/0/30 -Jq0.1c -Bx -By -X10c -F+cCM+f14p
+  echo "-Bx+e -By+el" | gmt text -Bx+e -By+el -Y-3.75c -F+cCM+f14p
+  echo "-Bx+e -By+eu" | gmt text -Bx+e -By+eu -Y-3.75c -F+cCM+f14p
+  echo "-Bx+e -By+e" | gmt text -Bx+e -By+e -Y-3.75c -F+cCM+f14p
+  echo "-Bx+el -By+el" | gmt text -Bx+el -By+el -Y-3.75c -F+cCM+f14p
+  echo "-Bx+el -By+eu" | gmt text -Bx+el -By+eu -Y-3.75c -F+cCM+f14p
+  echo "-Bx+eu -By+eu" | gmt text -Bx+eu -By+eu -Y-3.75c -F+cCM+f14p
+gmt end show