diff --git a/pyflakes/checker.py b/pyflakes/checker.py
index 29d15d34..f4b39d7a 100644
--- a/pyflakes/checker.py
+++ b/pyflakes/checker.py
@@ -1270,9 +1270,13 @@ def getDocstring(self, node):
     def handleNode(self, node, parent):
         if node is None:
             return
-        if self.offset and getattr(node, 'lineno', None) is not None:
-            node.lineno += self.offset[0]
-            node.col_offset += self.offset[1]
+        if self.offset:
+            if getattr(node, 'lineno', None) is not None:
+                node.lineno += self.offset[0]
+                node.col_offset += self.offset[1]
+            if getattr(node, 'end_lineno', None) is not None:
+                node.end_lineno += self.offset[0]
+                node.end_col_offset += self.offset[1]
         if self.futuresAllowed and not (isinstance(node, ast.ImportFrom) or
                                         self.isDocstring(node)):
             self.futuresAllowed = False
diff --git a/pyflakes/messages.py b/pyflakes/messages.py
index f45fd467..1e400feb 100644
--- a/pyflakes/messages.py
+++ b/pyflakes/messages.py
@@ -11,6 +11,8 @@ def __init__(self, filename, loc):
         self.filename = filename
         self.lineno = loc.lineno
         self.col = loc.col_offset
+        self.end_col = getattr(loc, 'end_col_offset', None)
+        self.end_lineno = getattr(loc, 'end_lineno', None)
 
     def __str__(self):
         return '{}:{}:{}: {}'.format(self.filename, self.lineno, self.col+1,
diff --git a/pyflakes/test/test_doctests.py b/pyflakes/test/test_doctests.py
index 6c8e69ef..ef6a44ba 100644
--- a/pyflakes/test/test_doctests.py
+++ b/pyflakes/test/test_doctests.py
@@ -293,6 +293,11 @@ def doctest_stuff():
         ''', m.UndefinedName).messages[0]
         self.assertEqual(exc.lineno, 5)
         self.assertEqual(exc.col, 20)
+        # end_col_offset and end_lineno are new in Python 3.8
+        if sys.version_info >= (3, 8):
+            # check that offsets are also added to end_col and end_lineno
+            self.assertEqual(exc.end_lineno, 5)
+            self.assertEqual(exc.end_col, 21)
 
     def test_offsetAfterDoctests(self):
         exc = self.flakes('''