diff --git a/jedi/parser/tree.py b/jedi/parser/tree.py
index 3a874f73..10fbeccd 100644
--- a/jedi/parser/tree.py
+++ b/jedi/parser/tree.py
@@ -952,23 +952,28 @@ def _create_params(parent, argslist_list):
 
     if first.type in ('name', 'tfpdef'):
         if check_python2_nested_param(first):
-            return []
+            return [first]
         else:
             return [Param([first], parent)]
+    elif first == '*':
+        return [first]
     else:  # argslist is a `typedargslist` or a `varargslist`.
         children = first.children
-        params = []
+        new_children = []
         start = 0
         # Start with offset 1, because the end is higher.
         for end, child in enumerate(children + [None], 1):
             if child is None or child == ',':
-                new_children = children[start:end]
-                if new_children:  # Could as well be comma and then end.
-                    if check_python2_nested_param(new_children[0]):
-                        continue
-                    params.append(Param(new_children, parent))
+                param_children = children[start:end]
+                if param_children:  # Could as well be comma and then end.
+                    if check_python2_nested_param(param_children[0]):
+                        new_children += param_children
+                    elif param_children[0] == '*' and param_children[1] == ',':
+                        new_children += param_children
+                    else:
+                        new_children.append(Param(param_children, parent))
                     start = end
-        return params
+        return new_children
 
 
 class Function(ClassOrFunc):
@@ -995,8 +1000,7 @@ class Function(ClassOrFunc):
 
     @property
     def params(self):
-        # Contents of parameter lit minus the leading <Operator: (> and the trailing <Operator: )>.
-        return self.children[2].children[1:-1]
+        return [p for p in self.children[2].children if p.type == 'param']
 
     @property
     def name(self):
diff --git a/test/test_parser/test_param_splitting.py b/test/test_parser/test_param_splitting.py
new file mode 100644
index 00000000..175df448
--- /dev/null
+++ b/test/test_parser/test_param_splitting.py
@@ -0,0 +1,34 @@
+'''
+To make the life of any analysis easier, we are generating Param objects
+instead of simple parser objects.
+'''
+
+from textwrap import dedent
+
+from jedi.parser import Parser, load_grammar
+
+
+def assert_params(param_string, **wanted_dct):
+    source = dedent('''
+    def x(%s):
+        pass
+    ''') % param_string
+
+    parser = Parser(load_grammar(), dedent(source))
+    funcdef = parser.get_parsed_node().subscopes[0]
+    dct = dict((p.name.value, p.default and p.default.get_code())
+               for p in funcdef.params)
+    assert dct == wanted_dct
+    assert parser.get_parsed_node().get_code() == source
+
+
+def test_split_params_with_separation_star():
+    assert_params('x, y=1, *, z=3', x=None, y='1', z='3')
+    assert_params('*, x', x=None)
+    assert_params('*')
+
+
+def test_split_params_with_stars():
+    assert_params('x, *args', x=None, args=None)
+    assert_params('**kwargs', kwargs=None)
+    assert_params('*args, **kwargs', args=None, kwargs=None)