diff --git a/Lib/packaging/tests/test_command_check.py b/Lib/packaging/tests/test_command_check.py
--- a/Lib/packaging/tests/test_command_check.py
+++ b/Lib/packaging/tests/test_command_check.py
@@ -153,6 +153,13 @@ class CheckTestCase(support.LoggingCatcher,
         cmd.warn('hello %s %s', 'beautiful', 'world')
         self.assertEqual(self.get_logs(), ['check: hello beautiful world'])
 
+    def test_irrational_version_raise_error(self):
+        metadata = {'home_page': 'xxx', 'author': 'xxx',
+                    'author_email': 'xxx', 'name': 'xxx',
+                    'version': '0.4.5dev'}
+        self.assertRaises(PackagingSetupError, self._run, metadata,
+                          **{'strict': 1})
+
 
 def test_suite():
     return unittest.makeSuite(CheckTestCase)
diff --git a/Lib/packaging/tests/test_metadata.py b/Lib/packaging/tests/test_metadata.py
--- a/Lib/packaging/tests/test_metadata.py
+++ b/Lib/packaging/tests/test_metadata.py
@@ -446,6 +446,14 @@ class MetadataTestCase(LoggingCatcher,
                                    'version': '1.0',
                                    'obsoletes': ['my.pkg (splat)']})
 
+    def test_check_irrational_version_warn(self):
+        fields = {'home_page': 'xxx', 'author': 'xxx',
+                  'author_email': 'xxx', 'name': 'xxx',
+                  'version': '0.4.5dev'}
+        metadata = Metadata(mapping=fields)
+        missing, warnings = metadata.check(strict=True)
+        self.assertIn("Wrong value for 'Version': 0.4.5dev", warnings)
+
 
 def test_suite():
     return unittest.makeSuite(MetadataTestCase)