diff --git a/CHANGELOG.md b/CHANGELOG.md
index 33747b2dd..f96ca1a23 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -3,6 +3,7 @@
 ## Master (Unreleased)
 
 * Remove deprecated class `::RuboCop::Cop::RSpec::Cop`. ([@bquorning][])
+* Retire `RSpec/InvalidPredicateMatcher` cop. ([@pirj][])
 
 ## 2.0.0.pre (2020-10-22)
 
diff --git a/config/default.yml b/config/default.yml
index d3c3809dd..240e8fb63 100644
--- a/config/default.yml
+++ b/config/default.yml
@@ -315,12 +315,6 @@ RSpec/InstanceVariable:
   VersionChanged: '1.7'
   StyleGuide: https://www.rubydoc.info/gems/rubocop-rspec/RuboCop/Cop/RSpec/InstanceVariable
 
-RSpec/InvalidPredicateMatcher:
-  Description: Checks invalid usage for predicate matcher.
-  Enabled: true
-  VersionAdded: '1.16'
-  StyleGuide: https://www.rubydoc.info/gems/rubocop-rspec/RuboCop/Cop/RSpec/InvalidPredicateMatcher
-
 RSpec/ItBehavesLike:
   Description: Checks that only one `it_behaves_like` style is used.
   Enabled: true
diff --git a/docs/modules/ROOT/pages/cops.adoc b/docs/modules/ROOT/pages/cops.adoc
index 002fffa62..4330d141f 100644
--- a/docs/modules/ROOT/pages/cops.adoc
+++ b/docs/modules/ROOT/pages/cops.adoc
@@ -40,7 +40,6 @@
 * xref:cops_rspec.adoc#rspecimplicitsubject[RSpec/ImplicitSubject]
 * xref:cops_rspec.adoc#rspecinstancespy[RSpec/InstanceSpy]
 * xref:cops_rspec.adoc#rspecinstancevariable[RSpec/InstanceVariable]
-* xref:cops_rspec.adoc#rspecinvalidpredicatematcher[RSpec/InvalidPredicateMatcher]
 * xref:cops_rspec.adoc#rspecitbehaveslike[RSpec/ItBehavesLike]
 * xref:cops_rspec.adoc#rspeciteratedexpectation[RSpec/IteratedExpectation]
 * xref:cops_rspec.adoc#rspecleadingsubject[RSpec/LeadingSubject]
diff --git a/docs/modules/ROOT/pages/cops_rspec.adoc b/docs/modules/ROOT/pages/cops_rspec.adoc
index f14ccce99..b83ca747a 100644
--- a/docs/modules/ROOT/pages/cops_rspec.adoc
+++ b/docs/modules/ROOT/pages/cops_rspec.adoc
@@ -1984,38 +1984,6 @@ end
 
 * https://www.rubydoc.info/gems/rubocop-rspec/RuboCop/Cop/RSpec/InstanceVariable
 
-== RSpec/InvalidPredicateMatcher
-
-|===
-| Enabled by default | Safe | Supports autocorrection | VersionAdded | VersionChanged
-
-| Enabled
-| Yes
-| No
-| 1.16
-| -
-|===
-
-Checks invalid usage for predicate matcher.
-
-Predicate matcher does not need a question.
-This cop checks an unnecessary question in predicate matcher.
-
-=== Examples
-
-[source,ruby]
-----
-# bad
-expect(foo).to be_something?
-
-# good
-expect(foo).to be_something
-----
-
-=== References
-
-* https://www.rubydoc.info/gems/rubocop-rspec/RuboCop/Cop/RSpec/InvalidPredicateMatcher
-
 == RSpec/ItBehavesLike
 
 |===
diff --git a/lib/rubocop/cop/rspec/invalid_predicate_matcher.rb b/lib/rubocop/cop/rspec/invalid_predicate_matcher.rb
deleted file mode 100644
index 018b5c9ff..000000000
--- a/lib/rubocop/cop/rspec/invalid_predicate_matcher.rb
+++ /dev/null
@@ -1,41 +0,0 @@
-# frozen_string_literal: true
-
-module RuboCop
-  module Cop
-    module RSpec
-      # Checks invalid usage for predicate matcher.
-      #
-      # Predicate matcher does not need a question.
-      # This cop checks an unnecessary question in predicate matcher.
-      #
-      # @example
-      #
-      #   # bad
-      #   expect(foo).to be_something?
-      #
-      #   # good
-      #   expect(foo).to be_something
-      class InvalidPredicateMatcher < Base
-        MSG = 'Omit `?` from `%<matcher>s`.'
-
-        def_node_matcher :invalid_predicate_matcher?, <<-PATTERN
-          (send (send nil? :expect ...) #{Runners::ALL.node_pattern_union} $(send nil? #predicate?))
-        PATTERN
-
-        def on_send(node)
-          invalid_predicate_matcher?(node) do |predicate|
-            add_offense(predicate,
-                        message: format(MSG, matcher: predicate.method_name))
-          end
-        end
-
-        private
-
-        def predicate?(name)
-          name = name.to_s
-          name.start_with?('be_', 'have_') && name.end_with?('?')
-        end
-      end
-    end
-  end
-end
diff --git a/lib/rubocop/cop/rspec_cops.rb b/lib/rubocop/cop/rspec_cops.rb
index 22599a760..1de7e025d 100644
--- a/lib/rubocop/cop/rspec_cops.rb
+++ b/lib/rubocop/cop/rspec_cops.rb
@@ -52,7 +52,6 @@
 require_relative 'rspec/implicit_subject'
 require_relative 'rspec/instance_spy'
 require_relative 'rspec/instance_variable'
-require_relative 'rspec/invalid_predicate_matcher'
 require_relative 'rspec/it_behaves_like'
 require_relative 'rspec/iterated_expectation'
 require_relative 'rspec/leading_subject'
diff --git a/spec/rubocop/cop/rspec/invalid_predicate_matcher_spec.rb b/spec/rubocop/cop/rspec/invalid_predicate_matcher_spec.rb
deleted file mode 100644
index 19715e16a..000000000
--- a/spec/rubocop/cop/rspec/invalid_predicate_matcher_spec.rb
+++ /dev/null
@@ -1,39 +0,0 @@
-# frozen_string_literal: true
-
-RSpec.describe RuboCop::Cop::RSpec::InvalidPredicateMatcher do
-  subject(:cop) { described_class.new }
-
-  it 'registers an offense for double question' do
-    expect_offense(<<-RUBY)
-      expect(foo).to be_something?
-                     ^^^^^^^^^^^^^ Omit `?` from `be_something?`.
-    RUBY
-  end
-
-  it 'registers an offense for double question with `not_to`' do
-    expect_offense(<<-RUBY)
-      expect(foo).not_to be_something?
-                         ^^^^^^^^^^^^^ Omit `?` from `be_something?`.
-    RUBY
-  end
-
-  it 'registers an offense for double question with `to_not`' do
-    expect_offense(<<-RUBY)
-      expect(foo).to_not be_something?
-                         ^^^^^^^^^^^^^ Omit `?` from `be_something?`.
-    RUBY
-  end
-
-  it 'registers an offense for double question with `have_something?`' do
-    expect_offense(<<-RUBY)
-      expect(foo).to have_something?
-                     ^^^^^^^^^^^^^^^ Omit `?` from `have_something?`.
-    RUBY
-  end
-
-  it 'accepts valid predicate matcher' do
-    expect_no_offenses(<<-RUBY)
-      expect(foo).to be_something
-    RUBY
-  end
-end