diff --git a/ChangeLog b/ChangeLog
index 8d8b068cd9..af4bfeda06 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -221,6 +221,11 @@ Release date: TBA
 
   Closes pylint-dev/pylint#8802
 
+
+* Fix false positives for ``no-member`` and ``invalid-name`` when using the ``_name_``, ``_value_`` and ``_ignore_`` sunders in Enums.
+
+  Closes pylint-dev/pylint#9015
+
 * Fix inference of functions with ``@functools.lru_cache`` decorators without
   parentheses.
 
diff --git a/astroid/brain/brain_namedtuple_enum.py b/astroid/brain/brain_namedtuple_enum.py
index 7a2d40e1e3..998306b3de 100644
--- a/astroid/brain/brain_namedtuple_enum.py
+++ b/astroid/brain/brain_namedtuple_enum.py
@@ -403,7 +403,10 @@ def infer_enum_class(node: nodes.ClassDef) -> nodes.ClassDef:
         dunder_members = {}
         target_names = set()
         for local, values in node.locals.items():
-            if any(not isinstance(value, nodes.AssignName) for value in values):
+            if (
+                any(not isinstance(value, nodes.AssignName) for value in values)
+                or local == "_ignore_"
+            ):
                 continue
 
             stmt = values[0].statement()
@@ -440,8 +443,14 @@ class {name}({types}):
                     def value(self):
                         return {return_value}
                     @property
+                    def _value_(self):
+                        return {return_value}
+                    @property
                     def name(self):
                         return "{name}"
+                    @property
+                    def _name_(self):
+                        return "{name}"
                 """.format(
                         name=target.name,
                         types=", ".join(node.basenames),
diff --git a/tests/brain/test_enum.py b/tests/brain/test_enum.py
index bbdb812cee..9b0e6c535c 100644
--- a/tests/brain/test_enum.py
+++ b/tests/brain/test_enum.py
@@ -521,3 +521,45 @@ def __init__(self, mass, radius):
         mars, radius = enum_members.items
         assert mars[1].name == "MARS"
         assert radius[1].name == "radius"
+
+    def test_enum_with_ignore(self) -> None:
+        """Exclude ``_ignore_`` from the ``__members__`` container
+        Originally reported in https://github.com/pylint-dev/pylint/issues/9015
+        """
+
+        ast_node: nodes.Attribute = builder.extract_node(
+            """
+        import enum
+
+
+        class MyEnum(enum.Enum):
+            FOO = enum.auto()
+            BAR = enum.auto()
+            _ignore_ = ["BAZ"]
+            BAZ = 42
+        MyEnum.__members__
+        """
+        )
+        inferred = next(ast_node.infer())
+        members_names = [const_node.value for const_node, name_obj in inferred.items]
+        assert members_names == ["FOO", "BAR", "BAZ"]
+
+    def test_enum_sunder_names(self) -> None:
+        """Test that both `_name_` and `_value_` sunder names exist"""
+
+        sunder_name, sunder_value = builder.extract_node(
+            """
+        import enum
+
+
+        class MyEnum(enum.Enum):
+            APPLE = 42
+        MyEnum.APPLE._name_ #@
+        MyEnum.APPLE._value_ #@
+        """
+        )
+        inferred_name = next(sunder_name.infer())
+        assert inferred_name.value == "APPLE"
+
+        inferred_value = next(sunder_value.infer())
+        assert inferred_value.value == 42