diff --git a/mypy/checkmember.py b/mypy/checkmember.py
index 3efc39753627..41ed646d4239 100644
--- a/mypy/checkmember.py
+++ b/mypy/checkmember.py
@@ -291,6 +291,9 @@ def analyze_type_type_member_access(name: str,
         # Access member on metaclass object via Type[Type[C]]
         if isinstance(typ.item.item, Instance):
             item = typ.item.item.type.metaclass_type
+    elif isinstance(typ.item, NoneType) and name == '__bool__':
+        # Special case, `type(None).__bool__` is defined on python3.
+        return analyze_none_member_access(name, typ.item, mx, from_none_type=True)
     if item and not mx.is_operator:
         # See comment above for why operators are skipped
         result = analyze_class_attribute_access(item, name, mx, override_info)
@@ -316,17 +319,30 @@ def analyze_union_member_access(name: str, typ: UnionType, mx: MemberContext) ->
     return make_simplified_union(results)
 
 
-def analyze_none_member_access(name: str, typ: NoneType, mx: MemberContext) -> Type:
+def analyze_none_member_access(
+    name: str, typ: NoneType, mx: MemberContext,
+    *,
+    from_none_type: bool = False,
+) -> Type:
     is_python_3 = mx.chk.options.python_version[0] >= 3
     # In Python 2 "None" has exactly the same attributes as "object". Python 3 adds a single
     # extra attribute, "__bool__".
     if is_python_3 and name == '__bool__':
         literal_false = LiteralType(False, fallback=mx.named_type('builtins.bool'))
-        return CallableType(arg_types=[],
-                            arg_kinds=[],
-                            arg_names=[],
-                            ret_type=literal_false,
-                            fallback=mx.named_type('builtins.function'))
+        arg_types = []
+        arg_kinds = []
+        arg_names = []
+        if from_none_type:  # This means that `type(None).__bool__` is accessed.
+            arg_types.append(typ)
+            arg_kinds.append(ARG_POS)
+            arg_names.append('self')
+        return CallableType(
+            arg_types=arg_types,
+            arg_kinds=arg_kinds,
+            arg_names=arg_names,
+            ret_type=literal_false,
+            fallback=mx.named_type('builtins.function'),
+        )
     elif mx.chk.should_suppress_optional_error([typ]):
         return AnyType(TypeOfAny.from_error)
     else:
diff --git a/test-data/unit/check-basic.test b/test-data/unit/check-basic.test
index 03dee485c848..d0ca7cf93727 100644
--- a/test-data/unit/check-basic.test
+++ b/test-data/unit/check-basic.test
@@ -404,6 +404,13 @@ b = none.__bool__()
 reveal_type(b)  # N: Revealed type is "Literal[False]"
 [builtins fixtures/bool.pyi]
 
+[case testNoneHasBoolPython27]
+# flags: --python-version 2.7
+none = None
+b = none.__bool__()  # E: "None" has no attribute "__bool__"
+reveal_type(b)  # N: Revealed type is "Any"
+[builtins fixtures/bool.pyi]
+
 [case testNoneHasBoolShowNoneErrorsFalse]
 none = None
 b = none.__bool__()
@@ -413,6 +420,28 @@ reveal_type(b)  # N: Revealed type is "Literal[False]"
 \[mypy]
 show_none_errors = False
 
+[case testTypeNoneHasBool]
+from typing import Type
+none: Type[None]
+reveal_type(none.__bool__)  # N: Revealed type is "def (self: None) -> Literal[False]"
+[builtins fixtures/bool.pyi]
+
+[case testTypeNoneHasBoolPython27]
+# flags: --python-version 2.7
+from typing import Type
+none = type(None)  # type: Type[None]
+none.__bool__  # E: "Type[None]" has no attribute "__bool__"
+[builtins fixtures/bool.pyi]
+
+[case testTypeNoneHasBoolShowNoneErrorsFalse]
+from typing import Type
+none: Type[None]
+reveal_type(none.__bool__)  # N: Revealed type is "def (self: None) -> Literal[False]"
+[builtins fixtures/bool.pyi]
+[file mypy.ini]
+\[mypy]
+show_none_errors = False
+
 [case testAssignmentInvariantNoteForList]
 from typing import List
 x: List[int]