diff --git a/jedi/evaluate/star_args.py b/jedi/evaluate/star_args.py
index c5a603e5..3bebb2e9 100644
--- a/jedi/evaluate/star_args.py
+++ b/jedi/evaluate/star_args.py
@@ -121,8 +121,9 @@ def process_params(param_names, star_count=3):  # default means both * and **
             if star_count == 1:
                 yield ParamNameFixedKind(p, Parameter.POSITIONAL_ONLY)
             elif star_count == 2:
-                yield ParamNameFixedKind(p, Parameter.KEYWORD_ONLY)
+                kw_only_params.append(ParamNameFixedKind(p, Parameter.KEYWORD_ONLY))
             else:
+                used_names.add(p.string_name)
                 yield p
 
     for func_and_argument in arg_funcs:
@@ -152,10 +153,15 @@ def process_params(param_names, star_count=3):  # default means both * and **
         if star_count == 1 and p.get_kind() != Parameter.VAR_POSITIONAL:
             yield ParamNameFixedKind(p, Parameter.POSITIONAL_ONLY)
         else:
+            if p.get_kind() == Parameter.POSITIONAL_OR_KEYWORD:
+                used_names.add(p.string_name)
             yield p
 
     for p in kw_only_params:
+        if p.string_name in used_names:
+            continue
         yield p
+        used_names.add(p.string_name)
 
     for func, arguments in kwarg_funcs:
         for p in process_params(
@@ -168,7 +174,6 @@ def process_params(param_names, star_count=3):  # default means both * and **
 
     if kwarg_names:
         yield kwarg_names[0]
-    return
 
 
 class ParamNameFixedKind(ParamNameWrapper):
@@ -178,4 +183,3 @@ class ParamNameFixedKind(ParamNameWrapper):
 
     def get_kind(self):
         return self._new_kind
-
diff --git a/test/test_evaluate/test_signature.py b/test/test_evaluate/test_signature.py
index 2bb81126..e0d1bec6 100644
--- a/test/test_evaluate/test_signature.py
+++ b/test/test_evaluate/test_signature.py
@@ -96,6 +96,8 @@ def test_tree_signature(Script, environment, code, expected):
     'combination, expected', [
         ('full_redirect(simple)', 'b, *, c'),
 
+        ('two_redirects(simple, simple)', 'a, b, *, c'),
+
         ('combined_redirect(simple, simple2)', 'a, b, /, *, x'),
         ('combined_redirect(simple, simple3)', 'a, b, /, *, a, x: int'),
         ('combined_redirect(simple2, simple)', 'x, /, *, a, b, c'),
@@ -134,6 +136,8 @@ def test_nested_signatures(Script, environment, combination, expected):
             return lambda *args, **kwargs: func(1)
         def full_redirect(func):
             return lambda *args, **kwargs: func(1, *args, **kwargs)
+        def two_redirects(func1, func2):
+            return lambda *args, **kwargs: func1(*args, **kwargs) + func2(1, *args, **kwargs)
         def combined_redirect(func1, func2):
             return lambda *args, **kwargs: func1(*args) + func2(**kwargs)
         def combined_lot_of_args(func1, func2):