diff --git a/CHANGELOG.md b/CHANGELOG.md
index 390288cee9c..91a43e2329b 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -8,6 +8,7 @@
 * [#7709](https://github.com/rubocop-hq/rubocop/issues/7709): Fix correction of `Style/RedundantCondition` when the else branch contains a range. ([@rrosenblum][])
 * [#7682](https://github.com/rubocop-hq/rubocop/issues/7682): Fix `Style/InverseMethods` autofix leaving parenthesis. ([@tejasbubane][])
 * [#7745](https://github.com/rubocop-hq/rubocop/issues/7745): Suppress a pending cop warnings when pending cop's department is disabled. ([@koic][])
+* [#7759](https://github.com/rubocop-hq/rubocop/issues/7759): Fix an error for `Layout/LineLength` cop when using lambda syntax that argument is not enclosed in parentheses. ([@koic][])
 
 ## 0.80.0 (2020-02-18)
 
diff --git a/lib/rubocop/cop/layout/line_length.rb b/lib/rubocop/cop/layout/line_length.rb
index 8f1b1e9e1b5..503ca44255b 100644
--- a/lib/rubocop/cop/layout/line_length.rb
+++ b/lib/rubocop/cop/layout/line_length.rb
@@ -131,7 +131,7 @@ def check_for_breakable_block(block_node)
         end
 
         def breakable_block_range(block_node)
-          if block_node.arguments?
+          if block_node.arguments? && !block_node.lambda?
             block_node.arguments.loc.end
           else
             block_node.loc.begin
diff --git a/spec/rubocop/cop/layout/line_length_spec.rb b/spec/rubocop/cop/layout/line_length_spec.rb
index 3f32300e4db..d8e60219539 100644
--- a/spec/rubocop/cop/layout/line_length_spec.rb
+++ b/spec/rubocop/cop/layout/line_length_spec.rb
@@ -791,6 +791,36 @@ def baz(bar)
           RUBY
         end
       end
+
+      context 'lambda syntax' do
+        context 'when argument is enclosed in parentheses' do
+          it 'registers an offense and corrects' do
+            expect_offense(<<~RUBY)
+              ->(x) { fooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo }
+                                                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Line is too long. [70/40]
+            RUBY
+
+            expect_correction(<<~RUBY)
+              ->(x) {
+               fooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo }
+            RUBY
+          end
+        end
+
+        context 'when argument is not enclosed in parentheses' do
+          it 'registers an offense and corrects' do
+            expect_offense(<<~RUBY)
+              -> x { foooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo }
+                                                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Line is too long. [70/40]
+            RUBY
+
+            expect_correction(<<~RUBY)
+              -> x {
+               foooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo }
+            RUBY
+          end
+        end
+      end
     end
 
     context 'semicolon' do