diff --git a/ChangeLog b/ChangeLog
index f77b7e8706..1559b071e3 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -23,6 +23,10 @@ Release date: TBA
 
   Closes #5323
 
+* Add checker ``unnecessary-ellipsis``
+
+  Closes #5460
+
 * Fixed detection of ``arguments-differ`` when superclass static
   methods lacked a ``@staticmethod`` decorator.
 
diff --git a/doc/whatsnew/2.13.rst b/doc/whatsnew/2.13.rst
index 0713e343ae..7d9dd28972 100644
--- a/doc/whatsnew/2.13.rst
+++ b/doc/whatsnew/2.13.rst
@@ -10,6 +10,9 @@ Summary -- Release highlights
 
 New checkers
 ============
+* ``unnecessary-ellipsis``: Emmitted when the ellipsis constant is used unnecessarily.
+
+  Closes #5460
 
 Removed checkers
 ================
diff --git a/pylint/checkers/strings.py b/pylint/checkers/strings.py
index bc573979f6..a10a9f35a9 100644
--- a/pylint/checkers/strings.py
+++ b/pylint/checkers/strings.py
@@ -673,6 +673,11 @@ class StringConstantChecker(BaseTokenChecker):
             "in Python 2 to indicate a string was Unicode, but since Python 3.0 strings "
             "are Unicode by default.",
         ),
+        "W1407": (
+            "Unnecessary ellipsis constant",
+            "unnecessary-ellipsis",
+            "Used when the ellipsis constant is encountered and can be avoided.",
+        ),
     }
     options = (
         (
@@ -914,6 +919,7 @@ def visit_const(self, node: nodes.Const) -> None:
             node.parent, nodes.JoinedStr
         ):
             self._detect_u_string_prefix(node)
+        self._detect_ellipsis(node)
 
     def _detect_u_string_prefix(self, node: nodes.Const):
         """Check whether strings include a 'u' prefix like u'String'"""
@@ -924,6 +930,20 @@ def _detect_u_string_prefix(self, node: nodes.Const):
                 col_offset=node.col_offset,
             )
 
+    def _detect_ellipsis(self, node: nodes.Const) -> None:
+        """Check if the ellipsis constant is used unnecessarily"""
+        if node.value is not Ellipsis or isinstance(
+            node.parent, (nodes.Assign, nodes.AnnAssign)
+        ):
+            return
+        if len(node.parent.parent.child_sequence(node.parent)) > 1 or (
+            isinstance(node.parent.parent, (nodes.ClassDef, nodes.FunctionDef))
+            and (node.parent.parent.doc is not None)
+        ):
+            self.add_message(
+                "unnecessary-ellipsis", line=node.lineno, col_offset=node.col_offset
+            )
+
 
 def register(linter):
     """required method to auto register this checker"""
diff --git a/tests/functional/c/class_members.py b/tests/functional/c/class_members.py
index e43ab57baa..e741c760b3 100644
--- a/tests/functional/c/class_members.py
+++ b/tests/functional/c/class_members.py
@@ -3,7 +3,6 @@
 
 class Class:
     attr: int
-    ...
 
 
 # `bar` definitely does not exist here, but in a complex scenario,
diff --git a/tests/functional/s/statement_without_effect.py b/tests/functional/s/statement_without_effect.py
index 53da873d88..31fc7250f0 100644
--- a/tests/functional/s/statement_without_effect.py
+++ b/tests/functional/s/statement_without_effect.py
@@ -1,5 +1,5 @@
 """Test for statements without effects."""
-# pylint: disable=too-few-public-methods, useless-object-inheritance, unnecessary-comprehension, use-list-literal
+# pylint: disable=too-few-public-methods, useless-object-inheritance, unnecessary-comprehension, unnecessary-ellipsis, use-list-literal
 
 # +1:[pointless-string-statement]
 """inline doc string should use a separated message"""
diff --git a/tests/functional/t/too/too_few_public_methods_excluded.py b/tests/functional/t/too/too_few_public_methods_excluded.py
index 35ba873ee5..fecf497ad1 100644
--- a/tests/functional/t/too/too_few_public_methods_excluded.py
+++ b/tests/functional/t/too/too_few_public_methods_excluded.py
@@ -11,4 +11,3 @@ class MyJsonEncoder(JSONEncoder):
 class InheritedInModule(Control):
     """This class inherits from a class that doesn't have enough mehods,
     and its parent is excluded via config, so it doesn't raise."""
-    ...
diff --git a/tests/functional/u/unnecessary/unnecessary_ellipsis.py b/tests/functional/u/unnecessary/unnecessary_ellipsis.py
new file mode 100644
index 0000000000..6122e13662
--- /dev/null
+++ b/tests/functional/u/unnecessary/unnecessary_ellipsis.py
@@ -0,0 +1,54 @@
+"""Emit a warning when the ellipsis constant is used and can be avoided"""
+
+# pylint: disable=missing-docstring, too-few-public-methods
+
+try:
+    A = 2
+except ValueError:
+    A = 24
+    ... # [unnecessary-ellipsis]
+
+B = ...
+C = [..., 1, 2, 3]
+
+def docstring_only():
+    '''In Python, stubbed functions often have a body that contains just a
+    single `...` constant, indicating that the function doesn't do
+    anything. However, a stubbed function can also have just a
+    docstring, and function with a docstring and no body also does
+    nothing.
+    '''
+
+
+# This function has no docstring, so it needs a `...` constant.
+def ellipsis_only():
+    ...
+
+
+def docstring_and_ellipsis():
+    '''This function doesn't do anything, but it has a docstring, so its
+    `...` constant is useless clutter.
+
+    NEW CHECK: unnecessary-ellipsis
+
+    This would check for stubs with both docstrings and `...`
+    constants, suggesting the removal of the useless `...`
+    constants
+    '''
+    ... # [unnecessary-ellipsis]
+
+
+class DocstringOnly:
+    '''The same goes for class stubs: docstring, or `...`, but not both.
+    '''
+
+
+# No problem
+class EllipsisOnly:
+    ...
+
+
+class DocstringAndEllipsis:
+    '''Whoops! Mark this one as bad too.
+    '''
+    ... # [unnecessary-ellipsis]
diff --git a/tests/functional/u/unnecessary/unnecessary_ellipsis.txt b/tests/functional/u/unnecessary/unnecessary_ellipsis.txt
new file mode 100644
index 0000000000..02e7620f2f
--- /dev/null
+++ b/tests/functional/u/unnecessary/unnecessary_ellipsis.txt
@@ -0,0 +1,3 @@
+unnecessary-ellipsis:9:4:None:None::Unnecessary ellipsis constant:UNDEFINED
+unnecessary-ellipsis:38:4:None:None::Unnecessary ellipsis constant:UNDEFINED
+unnecessary-ellipsis:54:4:None:None::Unnecessary ellipsis constant:UNDEFINED