diff --git a/mypy/stubdoc.py b/mypy/stubdoc.py
index 89db6cb3378f..8f984037f96c 100644
--- a/mypy/stubdoc.py
+++ b/mypy/stubdoc.py
@@ -233,6 +233,19 @@ def add_token(self, token: tokenize.TokenInfo) -> None:
             self.accumulator = ""
             self.state.append(STATE_ARGUMENT_TYPE)
 
+        elif (
+            token.type == tokenize.OP
+            and token.string == ":"
+            and self.state[-1] == STATE_ARGUMENT_TYPE
+            and self.accumulator == ""
+        ):
+            # We thought we were after the colon of an "arg_name: arg_type"
+            # stanza, so we were expecting an "arg_type" now. However, we ended
+            # up with "arg_name::" (with two colons). That's a C++ type name,
+            # not an argument name followed by a Python type. This function
+            # signature is malformed / invalid.
+            self.reset()
+
         elif (
             token.type == tokenize.OP
             and token.string == "="
diff --git a/mypy/test/teststubgen.py b/mypy/test/teststubgen.py
index 43974cf8ec68..605409f99523 100644
--- a/mypy/test/teststubgen.py
+++ b/mypy/test/teststubgen.py
@@ -371,6 +371,8 @@ def test_infer_sig_from_docstring(self) -> None:
             [FunctionSig(name="func", args=[ArgSig(name="x", type=None)], ret_type="Any")],
         )
 
+        assert_equal(infer_sig_from_docstring("\nfunc(invalid::type)", "func"), [])
+
         assert_equal(
             infer_sig_from_docstring('\nfunc(x: str="")', "func"),
             [