diff --git a/changelog/fix_block_delimiters_with_numbered_arguments.md b/changelog/fix_block_delimiters_with_numbered_arguments.md
new file mode 100644
index 00000000000..9748a000ae9
--- /dev/null
+++ b/changelog/fix_block_delimiters_with_numbered_arguments.md
@@ -0,0 +1 @@
+* [#10749](https://github.com/rubocop/rubocop/pull/10749): Fix Style/BlockDelimiters for blocks with numbered arguments. ([@gsamokovarov][])
diff --git a/lib/rubocop/cop/style/block_delimiters.rb b/lib/rubocop/cop/style/block_delimiters.rb
index 3e517edb59b..ee8154f47ac 100644
--- a/lib/rubocop/cop/style/block_delimiters.rb
+++ b/lib/rubocop/cop/style/block_delimiters.rb
@@ -184,6 +184,8 @@ def on_block(node)
           end
         end
 
+        alias on_numblock on_block
+
         private
 
         def autocorrect(corrector, node)
@@ -300,7 +302,7 @@ def with_block?(node)
 
         def get_blocks(node, &block)
           case node.type
-          when :block
+          when :block, :numblock
             yield node
           when :send
             get_blocks(node.receiver, &block) if node.receiver
diff --git a/spec/rubocop/cop/style/block_delimiters_spec.rb b/spec/rubocop/cop/style/block_delimiters_spec.rb
index e1b216bbba8..a98ad02f4f6 100644
--- a/spec/rubocop/cop/style/block_delimiters_spec.rb
+++ b/spec/rubocop/cop/style/block_delimiters_spec.rb
@@ -27,6 +27,35 @@
         }, 1
       RUBY
     end
+
+    context 'Ruby >= 2.7', :ruby27 do
+      it 'registers an offense for a single line numblock with do-end' do
+        expect_offense(<<~RUBY)
+          each do _1 end
+               ^^ Prefer `{...}` over `do...end` for single-line blocks.
+        RUBY
+      end
+
+      it 'accepts a single line numblock with braces' do
+        expect_no_offenses('each { _1 }')
+      end
+
+      it 'accepts a multi-line numblock with do-end' do
+        expect_no_offenses(<<~RUBY)
+          each do
+            _1
+          end
+        RUBY
+      end
+
+      it 'accepts a multi-line numblock that needs braces to be valid ruby' do
+        expect_no_offenses(<<~RUBY)
+          puts [1, 2, 3].map {
+            _1 * _1
+          }, 1
+        RUBY
+      end
+    end
   end
 
   context 'EnforcedStyle: semantic' do