diff --git a/dvc/command/add.py b/dvc/command/add.py
index f6f9ab2799..43a1d2b516 100644
--- a/dvc/command/add.py
+++ b/dvc/command/add.py
@@ -54,14 +54,7 @@ def add_parser(subparsers, parent_parser):
         help="Don't put files/directories into cache.",
     )
     add_parser.add_argument(
-        "-f",
-        "--file",
-        help="Specify name of the stage file. It should be "
-        "either 'Dvcfile' or have a '.dvc' suffix (e.g. "
-        "'prepare.dvc', 'clean.dvc', etc) in order for "
-        "dvc to be able to find it later. By default "
-        "the output basename + .dvc is used as a stage filename. "
-        "(NOTE: It can't be used when specifying multiple targets)",
+        "-f", "--file", help="Specify name of the DVC file it generates."
     )
     add_parser.add_argument(
         "targets", nargs="+", help="Input files/directories."
diff --git a/dvc/command/imp.py b/dvc/command/imp.py
index 726bb193c2..b549bac4e7 100644
--- a/dvc/command/imp.py
+++ b/dvc/command/imp.py
@@ -19,7 +19,9 @@ def run(self):
 
             out = self.args.out or default_out
 
-            self.repo.imp(self.args.url, out, self.args.resume)
+            self.repo.imp(
+                self.args.url, out, self.args.resume, fname=self.args.file
+            )
         except DvcException:
             logger.exception(
                 "failed to import {}. You could also try downloading "
@@ -62,4 +64,7 @@ def add_parser(subparsers, parent_parser):
     import_parser.add_argument(
         "out", nargs="?", help="Destination path to put files to."
     )
+    import_parser.add_argument(
+        "-f", "--file", help="Specify name of the DVC file it generates."
+    )
     import_parser.set_defaults(func=CmdImport)
diff --git a/dvc/command/run.py b/dvc/command/run.py
index 3a69a88527..e711744eec 100644
--- a/dvc/command/run.py
+++ b/dvc/command/run.py
@@ -127,14 +127,7 @@ def add_parser(subparsers, parent_parser):
         "(do not put into DVC cache).",
     )
     run_parser.add_argument(
-        "-f",
-        "--file",
-        help="Specify name of the stage file. It should be "
-        "either 'Dvcfile' or have a '.dvc' suffix (e.g. "
-        "'prepare.dvc', 'clean.dvc', etc) in order for "
-        "dvc to be able to find it later. By default "
-        "the first output basename + .dvc is used as "
-        "a stage filename.",
+        "-f", "--file", help="Specify name of the DVC file it generates."
     )
     run_parser.add_argument(
         "-c", "--cwd", default=None, help="Deprecated, use -w and -f instead."
diff --git a/dvc/repo/imp.py b/dvc/repo/imp.py
index e317eb008f..acbbc4afd6 100644
--- a/dvc/repo/imp.py
+++ b/dvc/repo/imp.py
@@ -2,11 +2,13 @@
 
 
 @scm_context
-def imp(self, url, out, resume=False):
+def imp(self, url, out, resume=False, fname=None):
     from dvc.stage import Stage
 
     with self.state:
-        stage = Stage.create(repo=self, cmd=None, deps=[url], outs=[out])
+        stage = Stage.create(
+            repo=self, cmd=None, deps=[url], outs=[out], fname=fname
+        )
 
     if stage is None:
         return None
diff --git a/tests/func/test_import.py b/tests/func/test_import.py
index 8d770cacd5..db908cf5ab 100644
--- a/tests/func/test_import.py
+++ b/tests/func/test_import.py
@@ -156,3 +156,31 @@ def test(self):
             self.assertEqual(0, ret)
 
         self.assertEqual(1, remove_outs_call_counter.mock.call_count)
+
+
+class TestImportFilename(TestDvc):
+    def setUp(self):
+        super(TestImportFilename, self).setUp()
+        tmp_dir = self.mkdtemp()
+        self.external_source = os.path.join(tmp_dir, "file")
+        with open(self.external_source, "w") as fobj:
+            fobj.write("content")
+
+    def test(self):
+        ret = main(["import", "-f", "bar.dvc", self.external_source])
+        self.assertEqual(0, ret)
+        self.assertTrue(os.path.exists("bar.dvc"))
+
+        os.remove("bar.dvc")
+
+        ret = main(["import", "--file", "bar.dvc", self.external_source])
+        self.assertEqual(0, ret)
+        self.assertTrue(os.path.exists("bar.dvc"))
+
+        os.remove("bar.dvc")
+        os.mkdir("sub")
+
+        path = os.path.join("sub", "bar.dvc")
+        ret = main(["import", "--file", path, self.external_source])
+        self.assertEqual(0, ret)
+        self.assertTrue(os.path.exists(path))