diff --git a/.rubocop.yml b/.rubocop.yml
index bc7a90bf4..d2feab940 100644
--- a/.rubocop.yml
+++ b/.rubocop.yml
@@ -107,3 +107,5 @@ RSpec/FactoryBot/SyntaxMethods:
   Enabled: true
 RSpec/Rails/AvoidSetupHook:
   Enabled: true
+RSpec/Rails/HaveHttpStatus:
+  Enabled: true
diff --git a/CHANGELOG.md b/CHANGELOG.md
index 66d4aa07a..a215c60b5 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -9,6 +9,7 @@
 * Fix error in `RSpec/RSpec/FactoryBot/CreateList` cop for empty block. ([@tejasbubane][])
 * Update `RSpec/MultipleExpectations` cop documentation with examples of aggregate_failures use. ([@edgibbs][])
 * Declare autocorrect as unsafe for `RSpec/VerifiedDoubleReference`. ([@Drowze][])
+* Add new `RSpec/Rails/HaveHttpStatus` cop. ([@akiomik][])
 
 ## 2.11.1 (2022-05-18)
 
@@ -706,3 +707,4 @@ Compatibility release so users can upgrade RuboCop to 0.51.0. No new features.
 [@ngouy]: https://github.com/ngouy
 [@edgibbs]: https://github.com/edgibbs
 [@Drowze]: https://github.com/Drowze
+[@akiomik]: https://github.com/akiomik
diff --git a/config/default.yml b/config/default.yml
index 51b998412..92a63b3d8 100644
--- a/config/default.yml
+++ b/config/default.yml
@@ -909,6 +909,13 @@ RSpec/Rails/AvoidSetupHook:
   VersionAdded: '2.4'
   Reference: https://www.rubydoc.info/gems/rubocop-rspec/RuboCop/Cop/RSpec/Rails/AvoidSetupHook
 
+RSpec/Rails/HaveHttpStatus:
+  Description: Checks that tests use `have_http_status` instead of equality matchers.
+  Enabled: pending
+  SafeAutoCorrect: false
+  VersionAdded: "<<next>>"
+  Reference: https://www.rubydoc.info/gems/rubocop-rspec/RuboCop/Cop/RSpec/Rails/HaveHttpStatus
+
 RSpec/Rails/HttpStatus:
   Description: Enforces use of symbolic or numeric value to describe HTTP status.
   Enabled: true
diff --git a/docs/modules/ROOT/pages/cops.adoc b/docs/modules/ROOT/pages/cops.adoc
index 641fa64a7..120de28e8 100644
--- a/docs/modules/ROOT/pages/cops.adoc
+++ b/docs/modules/ROOT/pages/cops.adoc
@@ -106,6 +106,7 @@
 === Department xref:cops_rspec_rails.adoc[RSpec/Rails]
 
 * xref:cops_rspec_rails.adoc#rspecrails/avoidsetuphook[RSpec/Rails/AvoidSetupHook]
+* xref:cops_rspec_rails.adoc#rspecrails/havehttpstatus[RSpec/Rails/HaveHttpStatus]
 * xref:cops_rspec_rails.adoc#rspecrails/httpstatus[RSpec/Rails/HttpStatus]
 
 // END_COP_LIST
diff --git a/docs/modules/ROOT/pages/cops_rspec_rails.adoc b/docs/modules/ROOT/pages/cops_rspec_rails.adoc
index d23035d55..e42579288 100644
--- a/docs/modules/ROOT/pages/cops_rspec_rails.adoc
+++ b/docs/modules/ROOT/pages/cops_rspec_rails.adoc
@@ -33,6 +33,35 @@ end
 
 * https://www.rubydoc.info/gems/rubocop-rspec/RuboCop/Cop/RSpec/Rails/AvoidSetupHook
 
+== RSpec/Rails/HaveHttpStatus
+
+|===
+| Enabled by default | Safe | Supports autocorrection | Version Added | Version Changed
+
+| Pending
+| Yes
+| Yes (Unsafe)
+| <<next>>
+| -
+|===
+
+Checks that tests use `have_http_status` instead of equality matchers.
+
+=== Examples
+
+[source,ruby]
+----
+# bad
+expect(response.status).to be(200)
+
+# good
+expect(response).to have_http_status(200)
+----
+
+=== References
+
+* https://www.rubydoc.info/gems/rubocop-rspec/RuboCop/Cop/RSpec/Rails/HaveHttpStatus
+
 == RSpec/Rails/HttpStatus
 
 |===
diff --git a/lib/rubocop/cop/rspec/rails/have_http_status.rb b/lib/rubocop/cop/rspec/rails/have_http_status.rb
new file mode 100644
index 000000000..780dddb31
--- /dev/null
+++ b/lib/rubocop/cop/rspec/rails/have_http_status.rb
@@ -0,0 +1,47 @@
+# frozen_string_literal: true
+
+module RuboCop
+  module Cop
+    module RSpec
+      module Rails
+        # Checks that tests use `have_http_status` instead of equality matchers.
+        #
+        # @example
+        #   # bad
+        #   expect(response.status).to be(200)
+        #
+        #   # good
+        #   expect(response).to have_http_status(200)
+        #
+        class HaveHttpStatus < Base
+          extend AutoCorrector
+
+          MSG =
+            'Prefer `expect(response).%<to>s have_http_status(%<status>i)` ' \
+            'over `expect(response.status).%<to>s %<match>s`.'
+
+          # @!method match_status(node)
+          def_node_matcher :match_status, <<-PATTERN
+            (send
+              (send nil? :expect
+                $(send (send nil? :response) :status)
+              )
+              $#Runners.all
+              $(send nil? {:be :eq :eql :equal} (int $_))
+            )
+          PATTERN
+
+          def on_send(node)
+            match_status(node) do |response_status, to, match, status|
+              message = format(MSG, to: to, match: match.source, status: status)
+              add_offense(node, message: message) do |corrector|
+                corrector.replace(response_status.source_range, 'response')
+                corrector.replace(match.loc.selector, 'have_http_status')
+              end
+            end
+          end
+        end
+      end
+    end
+  end
+end
diff --git a/lib/rubocop/cop/rspec_cops.rb b/lib/rubocop/cop/rspec_cops.rb
index 5ba81344e..3ce86db8b 100644
--- a/lib/rubocop/cop/rspec_cops.rb
+++ b/lib/rubocop/cop/rspec_cops.rb
@@ -11,6 +11,7 @@
 require_relative 'rspec/factory_bot/syntax_methods'
 
 require_relative 'rspec/rails/avoid_setup_hook'
+require_relative 'rspec/rails/have_http_status'
 begin
   require_relative 'rspec/rails/http_status'
 rescue LoadError
diff --git a/spec/rubocop/cop/rspec/rails/have_http_status_spec.rb b/spec/rubocop/cop/rspec/rails/have_http_status_spec.rb
new file mode 100644
index 000000000..1f031863f
--- /dev/null
+++ b/spec/rubocop/cop/rspec/rails/have_http_status_spec.rb
@@ -0,0 +1,37 @@
+# frozen_string_literal: true
+
+RSpec.describe RuboCop::Cop::RSpec::Rails::HaveHttpStatus do
+  it 'registers an offense for `expect(response.status).to be(200)`' do
+    expect_offense(<<~RUBY)
+      it { expect(response.status).to be(200) }
+           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Prefer `expect(response).to have_http_status(200)` over `expect(response.status).to be(200)`.
+    RUBY
+
+    expect_correction(<<~RUBY)
+      it { expect(response).to have_http_status(200) }
+    RUBY
+  end
+
+  it 'registers an offense for `expect(response.status).not_to eq(404)`' do
+    expect_offense(<<~RUBY)
+      it { expect(response.status).not_to eq(404) }
+           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Prefer `expect(response).not_to have_http_status(404)` over `expect(response.status).not_to eq(404)`.
+    RUBY
+
+    expect_correction(<<~RUBY)
+      it { expect(response).not_to have_http_status(404) }
+    RUBY
+  end
+
+  it 'does not register an offense for `is_expected.to be(200)`' do
+    expect_no_offenses(<<~RUBY)
+      it { is_expected.to be(200) }
+    RUBY
+  end
+
+  it 'does not register an offense for `expect(res.status).to be(200)`' do
+    expect_no_offenses(<<~RUBY)
+      it { expect(res.status).to be(200) }
+    RUBY
+  end
+end