diff --git a/CHANGELOG.md b/CHANGELOG.md
index 46254b1fb36..4a0743aeea4 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -7,6 +7,7 @@
 * [#8627](https://github.com/rubocop-hq/rubocop/issues/8627): Fix a false positive for `Lint/DuplicateRequire` when same feature argument but different require method. ([@koic][])
 * [#8572](https://github.com/rubocop-hq/rubocop/issues/8572): Fix a false positive for `Style/RedundantParentheses` when parentheses are used like method argument parentheses. ([@koic][])
 * [#8653](https://github.com/rubocop-hq/rubocop/pull/8653): Fix a false positive for `Layout/DefEndAlignment` when using refinements and `private def`. ([@koic][])
+* [#8655](https://github.com/rubocop-hq/rubocop/pull/8655): Fix a false positive for `Style/ClassAndModuleChildren` when using cbase class name. ([@koic][])
 
 ### Changes
 
diff --git a/lib/rubocop/cop/style/class_and_module_children.rb b/lib/rubocop/cop/style/class_and_module_children.rb
index 9bc5d1ca638..294eb011ad1 100644
--- a/lib/rubocop/cop/style/class_and_module_children.rb
+++ b/lib/rubocop/cop/style/class_and_module_children.rb
@@ -32,6 +32,7 @@ class ClassAndModuleChildren < Base
                       'nested style.'
 
         def on_class(node)
+          return if node.identifier.children[0]&.cbase_type?
           return if node.parent_class && style != :nested
 
           check_style(node, node.body)
diff --git a/spec/rubocop/cop/style/class_and_module_children_spec.rb b/spec/rubocop/cop/style/class_and_module_children_spec.rb
index a78a9a438bf..a8a5527996d 100644
--- a/spec/rubocop/cop/style/class_and_module_children_spec.rb
+++ b/spec/rubocop/cop/style/class_and_module_children_spec.rb
@@ -60,6 +60,13 @@ module BarModule
       RUBY
     end
 
+    it 'accepts cbase class name' do
+      expect_no_offenses(<<~RUBY)
+        class ::Foo
+        end
+      RUBY
+    end
+
     it 'accepts :: in parent class on inheritance' do
       expect_no_offenses(<<~RUBY)
         class FooClass