diff --git a/parso/python/normalizer.py b/parso/python/normalizer.py
index 697ecba..3880966 100644
--- a/parso/python/normalizer.py
+++ b/parso/python/normalizer.py
@@ -255,8 +255,14 @@ class ErrorFinder(Normalizer):
                         self._add_syntax_error(message, node)
                         break
         elif node.type in ('parameters', 'lambdef'):
+            param_names = set()
             default_only = False
             for p in _iter_params(node):
+                if p.name.value in param_names:
+                    message = "duplicate argument '%s' in function definition"
+                    self._add_syntax_error(message % p.name.value, p.name)
+                param_names.add(p.name.value)
+
                 if p.default is None:
                     if default_only:
                         # def f(x=3, y): pass
diff --git a/test/test_python_errors.py b/test/test_python_errors.py
index 94a1211..82031f5 100644
--- a/test/test_python_errors.py
+++ b/test/test_python_errors.py
@@ -101,6 +101,9 @@ def test_indentation_errors(code, positions):
         'f(**x, *y)',
         'f(**x, y=3, z)',
 
+        # SyntaxErrors from Python/symtable.c
+        'def f(x, x): pass',
+
         # IndentationError
         ' foo',
         'def x():\n    1\n 2',
@@ -121,8 +124,11 @@ def test_python_exception_matches(code):
     if sys.version_info[:2] == (2, 6) and wanted == 'SyntaxError: unexpected EOF while parsing':
         wanted = 'SyntaxError: invalid syntax'
 
-    error, = _get_error_list(code)
-    assert wanted == error.message
+    errors = _get_error_list(code)
+    actual = None
+    if errors:
+        actual = errors[0].message
+    assert wanted == actual
 
 
 @pytest.mark.parametrize(