diff --git a/jedi/api/__init__.py b/jedi/api/__init__.py
index 666482e7..054d287e 100644
--- a/jedi/api/__init__.py
+++ b/jedi/api/__init__.py
@@ -163,7 +163,8 @@ class Script(object):
                         # Allow access on _definition here, because it's a
                         # public API and we don't want to make the internal
                         # Name object public.
-                        completions.append((p._definition.get_name(), p))
+                        if p._definition.stars == 0:  # no *args/**kwargs
+                            completions.append((p._definition.get_name(), p))
 
             if not path and not isinstance(user_stmt, pr.Import):
                 # add keywords
diff --git a/jedi/api/classes.py b/jedi/api/classes.py
index 0fe5a14b..8225d859 100644
--- a/jedi/api/classes.py
+++ b/jedi/api/classes.py
@@ -567,7 +567,9 @@ class Definition(use_metaclass(CachedMetaClass, BaseDefinition)):
                 if isinstance(d, pr.Param):
                     try:
                         return unicode(d.expression_list()[0].name)
-                    except IndexError:
+                    except (IndexError, AttributeError):
+                        # IndexError for syntax error params
+                        # AttributeError for *args/**kwargs
                         pass
                 return None
         elif isinstance(d, iterable.Generator):
diff --git a/jedi/parser/representation.py b/jedi/parser/representation.py
index 16e228b7..653b5d55 100644
--- a/jedi/parser/representation.py
+++ b/jedi/parser/representation.py
@@ -1181,6 +1181,13 @@ class Param(Statement):
             debug.warning("Multiple param names (%s).", n)
         return n[0]
 
+    @property
+    def stars(self):
+        exp = self.expression_list()
+        if exp and isinstance(exp[0], Operator):
+            return exp[0].string.count('*')
+        return 0
+
 
 class StatementElement(Simple):
     __slots__ = ('parent', 'next', 'execution')
diff --git a/test/completion/named_param.py b/test/completion/named_param.py
index 0ef351f9..571bb076 100644
--- a/test/completion/named_param.py
+++ b/test/completion/named_param.py
@@ -1,7 +1,8 @@
-""" named params:
+"""
+Named Params:
 >>> def a(abc): pass
 ...
->>> a(abc=3)  # <- this stuff
+>>> a(abc=3)  # <- this stuff (abc)
 """
 
 def a(abc):
@@ -18,4 +19,4 @@ def a(*some_args, **some_kwargs):
 a(some_args)
 
 #? 13 []
-a(some_kwargs
+a(some_kwargs)