diff --git a/CHANGELOG.md b/CHANGELOG.md
index 4fc272d8ef3..358357a04a2 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -17,6 +17,7 @@
 * [#6926](https://github.com/rubocop-hq/rubocop/issues/6926): [Fix #6926] Allow nil values to unset config defaults. ([@dduugg][])
 * [#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][])
 
 ### Changes
 
diff --git a/lib/rubocop/ast/node/resbody_node.rb b/lib/rubocop/ast/node/resbody_node.rb
index f51e83e59cf..9f23f97d8d5 100644
--- a/lib/rubocop/ast/node/resbody_node.rb
+++ b/lib/rubocop/ast/node/resbody_node.rb
@@ -12,6 +12,18 @@ class ResbodyNode < Node
       def body
         node_parts[2]
       end
+
+      # Returns the exception variable of the `rescue` clause.
+      #
+      # @return [Node, nil] The exception variable of the `resbody`.
+      def exception_variable
+        variable = node_parts[1]
+        return variable if variable
+
+        # When resbody is an implicit rescue (i.e. `rescue e` style),
+        # the exception variable is descendants[1].
+        descendants[1]
+      end
     end
   end
 end
diff --git a/lib/rubocop/cop/naming/rescued_exceptions_variable_name.rb b/lib/rubocop/cop/naming/rescued_exceptions_variable_name.rb
index 5b87fab8bed..e22c5329755 100644
--- a/lib/rubocop/cop/naming/rescued_exceptions_variable_name.rb
+++ b/lib/rubocop/cop/naming/rescued_exceptions_variable_name.rb
@@ -64,17 +64,22 @@ def on_resbody(node)
           return if @exception_name.const_type? ||
                     variable_name == preferred_name
 
-          add_offense(node, location: location)
+          add_offense(node, location: offense_range(node))
         end
 
-        def autocorrect(_node)
+        def autocorrect(node)
           lambda do |corrector|
-            corrector.replace(location, preferred_name)
+            corrector.replace(offense_range(node), preferred_name)
           end
         end
 
         private
 
+        def offense_range(resbody)
+          variable = resbody.exception_variable
+          variable.loc.expression
+        end
+
         def preferred_name
           @preferred_name ||= begin
             name = cop_config.fetch('PreferredName', 'e')
@@ -84,11 +89,11 @@ def preferred_name
         end
 
         def variable_name
-          @variable_name ||= location.source
+          location.source
         end
 
         def location
-          @location ||= @exception_name.loc.expression
+          @exception_name.loc.expression
         end
 
         def message(_node = nil)
diff --git a/spec/rubocop/ast/resbody_node_spec.rb b/spec/rubocop/ast/resbody_node_spec.rb
index c5aeb736a8f..fe6f0fc74fe 100644
--- a/spec/rubocop/ast/resbody_node_spec.rb
+++ b/spec/rubocop/ast/resbody_node_spec.rb
@@ -13,6 +13,26 @@
     it { expect(resbody_node.is_a?(described_class)).to be(true) }
   end
 
+  describe '#exception_variable' do
+    context 'for an explicit rescue' do
+      let(:source) { 'begin; beginbody; rescue Error => ex; rescuebody; end' }
+
+      it { expect(resbody_node.exception_variable.source).to eq('ex') }
+    end
+
+    context 'for an implicit rescue' do
+      let(:source) { 'begin; beginbody; rescue ex; rescuebody; end' }
+
+      it { expect(resbody_node.exception_variable.source).to eq('ex') }
+    end
+
+    context 'when an exception variable is not given' do
+      let(:source) { 'begin; beginbody; rescue; rescuebody; end' }
+
+      it { expect(resbody_node.exception_variable).to be(nil) }
+    end
+  end
+
   describe '#body' do
     let(:source) { 'begin; beginbody; rescue Error => ex; :rescuebody; end' }
 
diff --git a/spec/rubocop/cop/naming/rescued_exceptions_variable_name_spec.rb b/spec/rubocop/cop/naming/rescued_exceptions_variable_name_spec.rb
index 333182727da..13efecb3062 100644
--- a/spec/rubocop/cop/naming/rescued_exceptions_variable_name_spec.rb
+++ b/spec/rubocop/cop/naming/rescued_exceptions_variable_name_spec.rb
@@ -44,6 +44,31 @@
           RUBY
         end
 
+        it 'registers offenses when using `foo` and `bar` ' \
+           'in multiple rescues' do
+          expect_offense(<<-RUBY.strip_indent)
+            begin
+              something
+            rescue FooException => foo
+                                   ^^^ Use `e` instead of `foo`.
+              # do something
+            rescue BarException => bar
+                                   ^^^ Use `e` instead of `bar`.
+              # do something
+            end
+          RUBY
+
+          expect_correction(<<-RUBY.strip_indent)
+            begin
+              something
+            rescue FooException => e
+              # do something
+            rescue BarException => e
+              # do something
+            end
+          RUBY
+        end
+
         it 'does not register an offense when using `e`' do
           expect_no_offenses(<<-RUBY.strip_indent)
             begin
@@ -198,6 +223,30 @@
       RUBY
     end
 
+    it 'registers offenses when using `foo` and `bar` in multiple rescues' do
+      expect_offense(<<-RUBY.strip_indent)
+        begin
+          something
+        rescue FooException => foo
+                               ^^^ Use `exception` instead of `foo`.
+          # do something
+        rescue BarException => bar
+                               ^^^ Use `exception` instead of `bar`.
+          # do something
+        end
+      RUBY
+
+      expect_correction(<<-RUBY.strip_indent)
+        begin
+          something
+        rescue FooException => exception
+          # do something
+        rescue BarException => exception
+          # do something
+        end
+      RUBY
+    end
+
     it 'does not register an offense when using `exception`' do
       expect_no_offenses(<<-RUBY.strip_indent)
         begin