diff --git a/docs/docstrings.md b/docs/docstrings.md
index a9078032..9c01be45 100644
--- a/docs/docstrings.md
+++ b/docs/docstrings.md
@@ -95,7 +95,8 @@ Option                     | Google | Numpy | Sphinx
 -------------------------- | ------ | ----- | ------
 Ignore `__init__` summary  | ✅     | ✅    | [❌][issue-ignore-init-summary-sphinx]
 Trim doctest flags         | ✅     | ✅    | [❌][issue-trim-doctest-flags-sphinx]
+Warn about unknown params  | ✅     | ✅    | [❌][issue-warn-unknown-params-sphinx]
 
 [issue-ignore-init-summary-sphinx]: https://github.com/mkdocstrings/griffe/issues/45
 [issue-trim-doctest-flags-sphinx]: https://github.com/mkdocstrings/griffe/issues/49
-
+[issue-warn-unknown-params-sphinx]: https://github.com/mkdocstrings/griffe/issues/64
diff --git a/src/griffe/docstrings/numpy.py b/src/griffe/docstrings/numpy.py
index 6a94a283..278bacc4 100644
--- a/src/griffe/docstrings/numpy.py
+++ b/src/griffe/docstrings/numpy.py
@@ -213,7 +213,11 @@ def _read_block(docstring: Docstring, offset: int) -> tuple[str, int]:  # noqa:
 _RE_DOCTEST_FLAGS: Pattern = re.compile(r"(\s*#\s*doctest:.+)$")
 
 
-def _read_parameters(docstring: Docstring, offset: int) -> tuple[list[DocstringParameter], int]:  # noqa: WPS231
+def _read_parameters(  # noqa: WPS231
+    docstring: Docstring,
+    offset: int,
+    warn_unknown_params: bool = True,
+) -> tuple[list[DocstringParameter], int]:
     parameters = []
     annotation: str | Name | Expression | None
 
@@ -257,6 +261,15 @@ def _read_parameters(docstring: Docstring, offset: int) -> tuple[list[DocstringP
                     default = docstring.parent.parameters[name].default  # type: ignore[union-attr]
                     break
 
+        if warn_unknown_params and docstring.parent is not None:
+            for name in names:  # noqa: WPS440
+                if name not in docstring.parent.parameters:  # type: ignore[attr-defined]
+                    _warn(
+                        docstring,
+                        new_offset,
+                        f"Parameter '{name}' does not appear in the parent signature",
+                    )
+
         for name in names:  # noqa: WPS440
             parameters.append(DocstringParameter(name, value=default, annotation=annotation, description=description))
 
@@ -282,7 +295,7 @@ def _read_other_parameters_section(
     offset: int,
     **options: Any,
 ) -> tuple[DocstringSectionOtherParameters | None, int]:
-    parameters, new_offset = _read_parameters(docstring, offset)
+    parameters, new_offset = _read_parameters(docstring, offset, warn_unknown_params=False)
 
     if parameters:
         return DocstringSectionOtherParameters(parameters), new_offset
diff --git a/tests/test_docstrings/test_google.py b/tests/test_docstrings/test_google.py
index c376fee1..f3d16d54 100644
--- a/tests/test_docstrings/test_google.py
+++ b/tests/test_docstrings/test_google.py
@@ -702,8 +702,8 @@ def test_parameter_line_without_colon_keyword_only(parse_google):
     assert "Empty" in warnings[1]
 
 
-def test_warn_about_extra_parameters(parse_google):
-    """Warn about extra parameters in "Parameters" sections.
+def test_warn_about_unknown_parameters(parse_google):
+    """Warn about unknown parameters in "Parameters" sections.
 
     Parameters:
         parse_google: Fixture parser.
@@ -714,7 +714,7 @@ def test_warn_about_extra_parameters(parse_google):
             y (int): Integer.
     """
 
-    sections, warnings = parse_google(
+    _, warnings = parse_google(
         docstring,
         parent=Function(
             "func",
@@ -728,8 +728,8 @@ def test_warn_about_extra_parameters(parse_google):
     assert "'x' does not appear in the parent signature" in warnings[0]
 
 
-def test_never_warn_about_extra_other_parameters(parse_google):
-    """Never Warn about extra parameters in "Other parameters" sections.
+def test_never_warn_about_unknown_other_parameters(parse_google):
+    """Never warn about unknown parameters in "Other parameters" sections.
 
     Parameters:
         parse_google: Fixture parser.
diff --git a/tests/test_docstrings/test_numpy.py b/tests/test_docstrings/test_numpy.py
index b51694ed..2f6a2bd9 100644
--- a/tests/test_docstrings/test_numpy.py
+++ b/tests/test_docstrings/test_numpy.py
@@ -527,6 +527,65 @@ def test_retrieve_attributes_annotation_from_parent(parse_numpy):
     assert attributes[1].annotation.source == "str"
 
 
+# =============================================================================================
+# Parameters sections
+def test_warn_about_unknown_parameters(parse_numpy):
+    """Warn about unknown parameters in "Parameters" sections.
+
+    Parameters:
+        parse_numpy: Fixture parser.
+    """
+    docstring = """
+        Parameters
+        ----------
+        x : int
+            Integer.
+        y : int
+            Integer.
+    """
+
+    _, warnings = parse_numpy(
+        docstring,
+        parent=Function(
+            "func",
+            parameters=Parameters(
+                Parameter("a"),
+                Parameter("y"),
+            ),
+        ),
+    )
+    assert len(warnings) == 1
+    assert "'x' does not appear in the parent signature" in warnings[0]
+
+
+def test_never_warn_about_unknown_other_parameters(parse_numpy):
+    """Never warn about unknown parameters in "Other parameters" sections.
+
+    Parameters:
+        parse_numpy: Fixture parser.
+    """
+    docstring = """
+        Other Parameters
+        ----------------
+        x : int
+            Integer.
+        z : int
+            Integer.
+    """
+
+    _, warnings = parse_numpy(
+        docstring,
+        parent=Function(
+            "func",
+            parameters=Parameters(
+                Parameter("a"),
+                Parameter("y"),
+            ),
+        ),
+    )
+    assert not warnings
+
+
 # =============================================================================================
 # Yields sections
 @pytest.mark.parametrize(
@@ -651,7 +710,7 @@ def test_ignore_init_summary(parse_numpy, docstring):
 
     Parameters:
         parse_numpy: Fixture parser.
-        docstring: The docstring to parse_google (parametrized).
+        docstring: The docstring to parse (parametrized).
     """
     sections, _ = parse_numpy(docstring, parent=Function("__init__", parent=Class("C")), ignore_init_summary=True)
     for section in sections: