diff --git a/CHANGELOG.md b/CHANGELOG.md
index be809a170cd..0315c9762d2 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -20,6 +20,7 @@
 * [#7776](https://github.com/rubocop-hq/rubocop/issues/7776): Fix crash for `Layout/MultilineMethodCallBraceLayout` when comment is present before closing braces. ([@shekhar-patil][])
 * [#8282](https://github.com/rubocop-hq/rubocop/issues/8282): Fix `Style/IfUnlessModifier` bad precedence detection. ([@tejasbubane][])
 * [#8289](https://github.com/rubocop-hq/rubocop/issues/8289): Fix `Style/AccessorGrouping` to not register offense for accessor with comment. ([@tejasbubane][])
+* [#8310](https://github.com/rubocop-hq/rubocop/pull/8310): Handle major version requirements in `Gemspec/RequiredRubyVersion`. ([@eugeneius][])
 
 ### Changes
 
diff --git a/docs/modules/ROOT/pages/cops_gemspec.adoc b/docs/modules/ROOT/pages/cops_gemspec.adoc
index ec8b98b3cb6..619828ca092 100644
--- a/docs/modules/ROOT/pages/cops_gemspec.adoc
+++ b/docs/modules/ROOT/pages/cops_gemspec.adoc
@@ -187,6 +187,11 @@ end
 Gem::Specification.new do |spec|
   spec.required_ruby_version = ['>= 2.5.0', '< 2.7.0']
 end
+
+# good
+Gem::Specification.new do |spec|
+  spec.required_ruby_version = '~> 2.5'
+end
 ----
 
 === Configurable attributes
diff --git a/lib/rubocop/cop/gemspec/required_ruby_version.rb b/lib/rubocop/cop/gemspec/required_ruby_version.rb
index 906d3dc9b6d..c399bb4ab53 100644
--- a/lib/rubocop/cop/gemspec/required_ruby_version.rb
+++ b/lib/rubocop/cop/gemspec/required_ruby_version.rb
@@ -35,6 +35,11 @@ module Gemspec
       #   Gem::Specification.new do |spec|
       #     spec.required_ruby_version = ['>= 2.5.0', '< 2.7.0']
       #   end
+      #
+      #   # good
+      #   Gem::Specification.new do |spec|
+      #     spec.required_ruby_version = '~> 2.5'
+      #   end
       class RequiredRubyVersion < Cop
         MSG = '`required_ruby_version` (%<required_ruby_version>s, ' \
               'declared in %<gemspec_filename>s) and `TargetRubyVersion` ' \
@@ -68,7 +73,7 @@ def extract_ruby_version(required_ruby_version)
             end
           end
 
-          required_ruby_version.str_content.match(/(\d\.\d)/)[1]
+          required_ruby_version.str_content.scan(/\d/).first(2).join('.')
         end
 
         def message(required_ruby_version, target_ruby_version)
diff --git a/spec/rubocop/cop/gemspec/required_ruby_version_spec.rb b/spec/rubocop/cop/gemspec/required_ruby_version_spec.rb
index 54b976fd34d..44d7d4abe5f 100644
--- a/spec/rubocop/cop/gemspec/required_ruby_version_spec.rb
+++ b/spec/rubocop/cop/gemspec/required_ruby_version_spec.rb
@@ -2,8 +2,7 @@
 
 RSpec.describe RuboCop::Cop::Gemspec::RequiredRubyVersion, :config do
   context 'target ruby version > 2.7', :ruby27 do
-    it 'registers an offense when `required_ruby_version` is lower than ' \
-       '`TargetRubyVersion`' do
+    it 'registers an offense when `required_ruby_version` is specified with >= and is lower than `TargetRubyVersion`' do
       expect_offense(<<~RUBY, '/path/to/foo.gemspec')
         Gem::Specification.new do |spec|
           spec.required_ruby_version = '>= 2.6.0'
@@ -12,6 +11,15 @@
       RUBY
     end
 
+    it 'registers an offense when `required_ruby_version` is specified with ~> and is lower than `TargetRubyVersion`' do
+      expect_offense(<<~RUBY, '/path/to/foo.gemspec')
+        Gem::Specification.new do |spec|
+          spec.required_ruby_version = '~> 2.6.0'
+                                       ^^^^^^^^^^ `required_ruby_version` (2.6, declared in foo.gemspec) and `TargetRubyVersion` (2.7, which may be specified in .rubocop.yml) should be equal.
+        end
+      RUBY
+    end
+
     describe 'false negatives' do
       it 'does not register an offense when `required_ruby_version` ' \
          'is assigned as a variable (string literal)' do
@@ -37,8 +45,7 @@
   end
 
   context 'target ruby version > 2.5', :ruby25 do
-    it 'registers an offense when `required_ruby_version` is higher than ' \
-       '`TargetRubyVersion`' do
+    it 'registers an offense when `required_ruby_version` is specified with >= and is higher than `TargetRubyVersion`' do
       expect_offense(<<~RUBY, '/path/to/bar.gemspec')
         Gem::Specification.new do |spec|
           spec.required_ruby_version = '>= 2.6.0'
@@ -46,11 +53,19 @@
         end
       RUBY
     end
+
+    it 'registers an offense when `required_ruby_version` is specified with ~> and is higher than `TargetRubyVersion`' do
+      expect_offense(<<~RUBY, '/path/to/bar.gemspec')
+        Gem::Specification.new do |spec|
+          spec.required_ruby_version = '~> 2.6.0'
+                                       ^^^^^^^^^^ `required_ruby_version` (2.6, declared in bar.gemspec) and `TargetRubyVersion` (2.5, which may be specified in .rubocop.yml) should be equal.
+        end
+      RUBY
+    end
   end
 
   context 'target ruby version > 2.6', :ruby26 do
-    it 'does not register an offense when `required_ruby_version` equals ' \
-       '`TargetRubyVersion`' do
+    it 'does not register an offense when `required_ruby_version` is specified with >= and equals `TargetRubyVersion`' do
       expect_no_offenses(<<~RUBY)
         Gem::Specification.new do |spec|
           spec.required_ruby_version = '>= 2.6.0'
@@ -58,8 +73,16 @@
       RUBY
     end
 
-    it 'does not register an offense when `required_ruby_version` ' \
-       '(omit patch version) equals `TargetRubyVersion`' do
+    it 'does not register an offense when `required_ruby_version` is specified with ~> and equals `TargetRubyVersion`' do
+      expect_no_offenses(<<~RUBY)
+        Gem::Specification.new do |spec|
+          spec.required_ruby_version = '~> 2.6.0'
+        end
+      RUBY
+    end
+
+    it 'does not register an offense when `required_ruby_version` is specified with >= without a patch version and ' \
+       'equals `TargetRubyVersion`' do
       expect_no_offenses(<<~RUBY)
         Gem::Specification.new do |spec|
           spec.required_ruby_version = '>= 2.6'
@@ -67,6 +90,15 @@
       RUBY
     end
 
+    it 'does not register an offense when `required_ruby_version` is specified with ~> without a patch version and ' \
+       'equals `TargetRubyVersion`' do
+      expect_no_offenses(<<~RUBY)
+        Gem::Specification.new do |spec|
+          spec.required_ruby_version = '~> 2.6'
+        end
+      RUBY
+    end
+
     it 'does not register an offense when lowest version of ' \
        '`required_ruby_version` equals `TargetRubyVersion`' do
       expect_no_offenses(<<~RUBY)
@@ -75,5 +107,25 @@
         end
       RUBY
     end
+
+    it 'registers an offense when `required_ruby_version` is specified with >= without a minor version and is lower ' \
+       'than `TargetRubyVersion`' do
+      expect_offense(<<~RUBY, 'bar.gemspec')
+        Gem::Specification.new do |spec|
+          spec.required_ruby_version = '>= 2'
+                                       ^^^^^^ `required_ruby_version` (2, declared in bar.gemspec) and `TargetRubyVersion` (2.6, which may be specified in .rubocop.yml) should be equal.
+        end
+      RUBY
+    end
+
+    it 'registers an offense when `required_ruby_version` is specified with ~> without a minor version and is lower ' \
+       'than `TargetRubyVersion`' do
+      expect_offense(<<~RUBY, 'bar.gemspec')
+        Gem::Specification.new do |spec|
+          spec.required_ruby_version = '~> 2'
+                                       ^^^^^^ `required_ruby_version` (2, declared in bar.gemspec) and `TargetRubyVersion` (2.6, which may be specified in .rubocop.yml) should be equal.
+        end
+      RUBY
+    end
   end
 end