diff --git a/changelog/fix_an_error_for_style_single_argument_dig.md b/changelog/fix_an_error_for_style_single_argument_dig.md
new file mode 100644
index 00000000000..ad7966abee5
--- /dev/null
+++ b/changelog/fix_an_error_for_style_single_argument_dig.md
@@ -0,0 +1 @@
+* [#10510](https://github.com/rubocop/rubocop/issues/10510): Fix an error for `Style/SingleArgumentDig` when using multiple `dig` in a method chain. ([@koic][])
diff --git a/lib/rubocop/cop/style/single_argument_dig.rb b/lib/rubocop/cop/style/single_argument_dig.rb
index d31ba4f6ec3..f0a2d1ed1a3 100644
--- a/lib/rubocop/cop/style/single_argument_dig.rb
+++ b/lib/rubocop/cop/style/single_argument_dig.rb
@@ -50,9 +50,13 @@ def on_send(node)
 
           message = format(MSG, receiver: receiver, argument: argument, original: node.source)
           add_offense(node, message: message) do |corrector|
+            next if part_of_ignored_node?(node)
+
             correct_access = "#{receiver}[#{argument}]"
             corrector.replace(node, correct_access)
           end
+
+          ignore_node(node)
         end
       end
     end
diff --git a/spec/rubocop/cop/style/single_argument_dig_spec.rb b/spec/rubocop/cop/style/single_argument_dig_spec.rb
index 7519072e77f..3de2cf3dfff 100644
--- a/spec/rubocop/cop/style/single_argument_dig_spec.rb
+++ b/spec/rubocop/cop/style/single_argument_dig_spec.rb
@@ -54,6 +54,20 @@
       end
     end
 
+    context 'when using multiple `dig` in a method chain' do
+      it 'registers and corrects an offense' do
+        expect_offense(<<~RUBY)
+          data.dig(var1)[0].dig(var2)
+          ^^^^^^^^^^^^^^ Use `data[var1]` instead of `data.dig(var1)`.
+          ^^^^^^^^^^^^^^^^^^^^^^^^^^^ Use `data.dig(var1)[0][var2]` instead of `data.dig(var1)[0].dig(var2)`.
+        RUBY
+
+        expect_correction(<<~RUBY)
+          data.dig(var1)[0][var2]
+        RUBY
+      end
+    end
+
     context 'when using dig with splat operator' do
       it 'does not register an offense' do
         expect_no_offenses(<<~RUBY)