diff --git a/CHANGELOG.md b/CHANGELOG.md
index 358357a04a2..f6dad9e4020 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -18,6 +18,7 @@
 * [#6946](https://github.com/rubocop-hq/rubocop/pull/6946): Allow `Rails/ReflectionClassName` to use string interpolation for `class_name`. ([@r7kamura][])
 * [#6778](https://github.com/rubocop-hq/rubocop/issues/6778): Fix a false positive in `Style/HashSyntax` cop when a hash key is an interpolated string and EnforcedStyle is ruby19_no_mixed_keys. ([@tatsuyafw][])
 * [#6902](https://github.com/rubocop-hq/rubocop/issues/6902): Fix a bug where `Naming/RescuedExceptionsVariableName` would handle an only first rescue for multiple rescue groups. ([@tatsuyafw][])
+* [#6860](https://github.com/rubocop-hq/rubocop/issues/6860): Prevent auto-correct conflict of `Style/InverseMethods` and `Style/Not`. ([@hoshinotsuyoshi][])
 
 ### Changes
 
diff --git a/lib/rubocop/cop/style/inverse_methods.rb b/lib/rubocop/cop/style/inverse_methods.rb
index 002c575a992..5aa8ff833fd 100644
--- a/lib/rubocop/cop/style/inverse_methods.rb
+++ b/lib/rubocop/cop/style/inverse_methods.rb
@@ -37,6 +37,10 @@ class InverseMethods < Cop
         NEGATED_EQUALITY_METHODS = %i[!= !~].freeze
         CAMEL_CASE = /[A-Z]+[a-z]+/.freeze
 
+        def self.autocorrect_incompatible_with
+          [Style::Not]
+        end
+
         def_node_matcher :inverse_candidate?, <<-PATTERN
           {
             (send $(send $(...) $_ $...) :!)
diff --git a/spec/rubocop/cli/cli_autocorrect_spec.rb b/spec/rubocop/cli/cli_autocorrect_spec.rb
index 2a6407fea74..ed2ddaea344 100644
--- a/spec/rubocop/cli/cli_autocorrect_spec.rb
+++ b/spec/rubocop/cli/cli_autocorrect_spec.rb
@@ -452,6 +452,21 @@ def verify_section
     expect(IO.read('example.rb')).to eq(corrected)
   end
 
+  it 'corrects Style/InverseMethods and Style/Not offenses' do
+    source = <<-'RUBY'.strip_indent
+      x.select {|y| not y.z }
+    RUBY
+    create_file('example.rb', source)
+    expect(cli.run([
+                     '--auto-correct',
+                     '--only', 'Style/InverseMethods,Style/Not'
+                   ])).to eq(0)
+    corrected = <<-'RUBY'.strip_indent
+      x.reject {|y|  y.z }
+    RUBY
+    expect(IO.read('example.rb')).to eq(corrected)
+  end
+
   describe 'caching' do
     let(:cache) do
       instance_double(RuboCop::ResultCache, 'valid?' => true,