diff --git a/Lib/subprocess.py b/Lib/subprocess.py
index ba6f1983a5a227..30f0d1be154c40 100644
--- a/Lib/subprocess.py
+++ b/Lib/subprocess.py
@@ -446,6 +446,19 @@ def __repr__(self):
             args.append('stderr={!r}'.format(self.stderr))
         return "{}({})".format(type(self).__name__, ', '.join(args))
 
+    def __class_getitem__(cls, type):
+        """Provide minimal support for using this class as generic
+        (for example in type annotations).
+
+        See PEP 484 and PEP 560 for more details. For example,
+        `CompletedProcess[bytes]` is a valid expression at runtime
+        (type argument `bytes` indicates the type used for stdout).
+        Note, no type checking happens at runtime, but a static type
+        checker can be used.
+        """
+        return cls
+
+
     def check_returncode(self):
         """Raise CalledProcessError if the exit code is non-zero."""
         if self.returncode:
@@ -987,6 +1000,17 @@ def __repr__(self):
             obj_repr = obj_repr[:76] + "...>"
         return obj_repr
 
+    def __class_getitem__(cls, type):
+        """Provide minimal support for using this class as generic
+        (for example in type annotations).
+
+        See PEP 484 and PEP 560 for more details. For example, `Popen[bytes]`
+        is a valid expression at runtime (type argument `bytes` indicates the
+        type used for stdout). Note, no type checking happens at runtime, but
+        a static type checker can be used.
+        """
+        return cls
+
     @property
     def universal_newlines(self):
         # universal_newlines as retained as an alias of text_mode for API
diff --git a/Lib/test/test_subprocess.py b/Lib/test/test_subprocess.py
index f806be817b55bd..c5d8ae13894dcd 100644
--- a/Lib/test/test_subprocess.py
+++ b/Lib/test/test_subprocess.py
@@ -1437,6 +1437,9 @@ def test_file_not_found_with_bad_cwd(self):
             subprocess.Popen(['exit', '0'], cwd='/some/nonexistent/directory')
         self.assertEqual(c.exception.filename, '/some/nonexistent/directory')
 
+    def test_class_getitems(self):
+        self.assertIs(subprocess.Popen[bytes], subprocess.Popen)
+        self.assertIs(subprocess.CompletedProcess[str], subprocess.CompletedProcess)
 
 class RunFuncTestCase(BaseTestCase):
     def run_python(self, code, **kwargs):
diff --git a/Misc/NEWS.d/next/Library/2019-12-10-21-03-34.bpo-39019.i8RpMZ.rst b/Misc/NEWS.d/next/Library/2019-12-10-21-03-34.bpo-39019.i8RpMZ.rst
new file mode 100644
index 00000000000000..b64a56edc50c7e
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2019-12-10-21-03-34.bpo-39019.i8RpMZ.rst
@@ -0,0 +1,2 @@
+Implement dummy ``__class_getitem__`` for ``subprocess.Popen``,
+``subprocess.CompletedProcess``