diff --git a/pyflakes/checker.py b/pyflakes/checker.py
index c2f8d2e8..5eb2112d 100644
--- a/pyflakes/checker.py
+++ b/pyflakes/checker.py
@@ -435,6 +435,7 @@ def __init__(self):
         super(FunctionScope, self).__init__()
         # Simplify: manage the special locals as globals
         self.globals = self.alwaysUsed.copy()
+        self.global_names = []
         self.returnValue = None     # First non-empty return
         self.isGenerator = False    # Detect a generator
 
@@ -574,6 +575,9 @@ def _in_doctest(self):
         return (len(self.scopeStack) >= 2 and
                 isinstance(self.scopeStack[1], DoctestScope))
 
+    def _global_scope(self):
+        return self.scopeStack[1 if self._in_doctest() else 0]
+
     @property
     def futuresAllowed(self):
         if not all(isinstance(scope, ModuleScope)
@@ -735,6 +739,11 @@ def addBinding(self, node, value):
             elif isinstance(existing, Importation) and value.redefines(existing):
                 existing.redefined.append(node)
 
+        if (isinstance(self.scope, FunctionScope) and
+                isinstance(value, Importation) and
+                value.name in self.scope.global_names):
+            self.store_global_scope(value.name, value)
+
         if value.name in self.scope:
             # then assume the rebound name is used as a global or within a loop
             value.used = self.scope[value.name].used
@@ -757,6 +766,12 @@ def handleNodeLoad(self, node):
         in_generators = None
         importStarred = None
 
+        if (isinstance(self.scope, FunctionScope) and
+                name in self.scope.global_names and
+                name not in self._global_scope()):
+            # report name declared with global statement but undefined
+            self.report(messages.UndefinedName, node, name)
+
         # try enclosing function scopes and global scope
         for scope in self.scopeStack[-1::-1]:
             if isinstance(scope, ClassScope):
@@ -833,6 +848,10 @@ def handleNodeStore(self, node):
                                 scope[name].used[1], name, scope[name].source)
                     break
 
+        if (isinstance(self.scope, FunctionScope) and
+                name in self.scope.global_names):
+            self.store_global_scope(name, Assignment(name, node))
+
         parent_stmt = self.getParent(node)
         if isinstance(parent_stmt, (ast.For, ast.comprehension)) or (
                 parent_stmt != node.parent and
@@ -868,8 +887,15 @@ def on_conditional_branch():
             # be executed.
             return
 
-        if isinstance(self.scope, FunctionScope) and name in self.scope.globals:
-            self.scope.globals.remove(name)
+        if isinstance(self.scope, FunctionScope):
+            if name in self.scope.globals:
+                self.scope.globals.remove(name)
+            if name in self.scope.global_names:
+                self.scope.global_names.remove(name)
+                try:
+                    del self._global_scope()[name]
+                except KeyError:
+                    self.report(messages.UndefinedName, node, name)
         else:
             try:
                 del self.scope[name]
@@ -1016,6 +1042,10 @@ def handleForwardAnnotation():
     def ignore(self, node):
         pass
 
+    def store_global_scope(self, name, value):
+        """This store name in global scope"""
+        self._global_scope()[name] = value
+
     # "stmt" type nodes
     DELETE = PRINT = FOR = ASYNCFOR = WHILE = IF = WITH = WITHITEM = \
         ASYNCWITH = ASYNCWITHITEM = TRYFINALLY = EXEC = \
@@ -1122,7 +1152,8 @@ def GLOBAL(self, node):
                     m.message_args[0] != node_name]
 
                 # Bind name to global scope if it doesn't exist already.
-                global_scope.setdefault(node_name, node_value)
+                if isinstance(self.scope, FunctionScope):
+                    self.scope.global_names.append(node_name)
 
                 # Bind name to non-global scopes, but as already "used".
                 node_value.used = (global_scope, node)
diff --git a/pyflakes/test/test_imports.py b/pyflakes/test/test_imports.py
index 86e1d378..e9bd0155 100644
--- a/pyflakes/test/test_imports.py
+++ b/pyflakes/test/test_imports.py
@@ -686,6 +686,11 @@ def f(): global foo; import foo
             def g(): foo.is_used()
         ''')
 
+        self.flakes('''
+            def f(): global foo; import foo.bar
+            def g(): foo.is_used()
+        ''')
+
     @skipIf(version_info >= (3,), 'deprecated syntax')
     def test_usedInBackquote(self):
         self.flakes('import fu; `fu`')
diff --git a/pyflakes/test/test_undefined_names.py b/pyflakes/test/test_undefined_names.py
index 88eba933..818004f7 100644
--- a/pyflakes/test/test_undefined_names.py
+++ b/pyflakes/test/test_undefined_names.py
@@ -353,6 +353,14 @@ def f2():
             global m
         ''', m.UndefinedName)
 
+    def test_undefined_global(self):
+        """Use an undefined name with global statement"""
+        self.flakes('''
+        def f():
+            global m
+            print(m)
+        ''', m.UndefinedName)
+
     def test_del(self):
         """Del deletes bindings."""
         self.flakes('a = 1; del a; a', m.UndefinedName)