diff --git a/jedi/parser/__init__.py b/jedi/parser/__init__.py
index 1feb2743..6c66296e 100644
--- a/jedi/parser/__init__.py
+++ b/jedi/parser/__init__.py
@@ -38,14 +38,15 @@ class Parser(object):
     :param top_module: Use this module as a parent instead of `self.module`.
     """
     def __init__(self, source, module_path=None, no_docstr=False,
-                 tokenizer=None, top_module=None, offset=0):
+                 tokenizer=None, top_module=None):
         self.no_docstr = no_docstr
 
         tokenizer = tokenizer or tokenize.source_tokens(source)
         self._gen = PushBackTokenizer(tokenizer)
 
-        start_pos = 1 + offset, 0
         # initialize global Scope
+        start_pos = next(self._gen).start
+        self._gen.push_last_back()
         self.module = pr.SubModule(module_path, start_pos, top_module)
         self._scope = self.module
         self._top_module = top_module or self.module
diff --git a/jedi/parser/fast.py b/jedi/parser/fast.py
index 0cb99c5d..8cadfe42 100644
--- a/jedi/parser/fast.py
+++ b/jedi/parser/fast.py
@@ -369,8 +369,7 @@ class FastParser(use_metaclass(CachedFastParser)):
         except ValueError:
             tokenizer = FastTokenizer(parser_code, line_offset)
             p = Parser(parser_code, self.module_path, tokenizer=tokenizer,
-                       top_module=self.module, no_docstr=no_docstr,
-                       offset=line_offset)
+                       top_module=self.module, no_docstr=no_docstr)
             p.module.parent = self.module
         else:
             if nodes[index] != self.current_node: