diff --git a/CHANGELOG.md b/CHANGELOG.md
index d8e8b6ae2364..b453b548e018 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,7 +2,10 @@
 
 ## master (unreleased)
 
+### New features
+
 * New cop `FileName` makes sure that source files have snake_case names. ([@bbatsov][])
+* [#743](https://github.com/bbatsov/rubocop/issues/743): `SingleLineMethods` cop does auto-correction. ([@jonas054][])
 
 ### Changes
 
diff --git a/lib/rubocop/cop/style/single_line_methods.rb b/lib/rubocop/cop/style/single_line_methods.rb
index 78fe4411b882..e39588b890c1 100644
--- a/lib/rubocop/cop/style/single_line_methods.rb
+++ b/lib/rubocop/cop/style/single_line_methods.rb
@@ -23,9 +23,46 @@ def check(node, _method_name, _args, body)
           empty_body = body.nil?
 
           if start_line == end_line && !(allow_empty? && empty_body)
+            @body = body
             add_offence(node, :expression)
           end
         end
+
+        def autocorrect(node)
+          body = @body
+          eol_comment = processed_source.comments.find do |c|
+            c.loc.line == node.loc.expression.line
+          end
+          @corrections << lambda do |corrector|
+            if body.type == :begin
+              body.children.each do |part|
+                break_line_before(part.loc.expression, node, corrector, 1)
+              end
+            else
+              break_line_before(body.loc.expression, node, corrector, 1)
+            end
+
+            break_line_before(node.loc.end, node, corrector, 0)
+
+            move_comment(eol_comment, node, corrector) if eol_comment
+          end
+        end
+
+        def break_line_before(range, node, corrector, indent_steps)
+          corrector.insert_before(range,
+                                  "\n" + ' ' * (node.loc.keyword.column +
+                                                indent_steps *
+                                                IndentationWidth::
+                                                CORRECT_INDENTATION))
+        end
+
+        def move_comment(eol_comment, node, corrector)
+          text = eol_comment.loc.expression.source
+          corrector.insert_before(node.loc.expression,
+                                  text + "\n" +
+                                  ' ' * node.loc.keyword.column)
+          corrector.remove(eol_comment.loc.expression)
+        end
       end
     end
   end
diff --git a/spec/rubocop/cli_spec.rb b/spec/rubocop/cli_spec.rb
index 87a574e15222..054d3a01f20a 100644
--- a/spec/rubocop/cli_spec.rb
+++ b/spec/rubocop/cli_spec.rb
@@ -48,6 +48,33 @@ def abs(path)
                   'end'].join("\n") + "\n")
       end
 
+      it 'can correct single line methods' do
+        create_file('example.rb', ['# encoding: utf-8',
+                                   'def func1; do_something end # comment',
+                                   'def func2() do_1; do_2; end'])
+        expect(cli.run(%w(--auto-correct --format offences))).to eq(1)
+        expect(IO.read('example.rb')).to eq(['# encoding: utf-8',
+                                             '# comment',
+                                             'def func1;',
+                                             '  do_something',
+                                             'end',
+                                             'def func2',
+                                             '  do_1;',
+                                             '  do_2;',
+                                             'end',
+                                             ''].join("\n"))
+        expect($stdout.string).to eq(['',
+                                      '6   TrailingWhitespace',
+                                      '4   Semicolon',
+                                      '2   EmptyLineBetweenDefs',
+                                      '2   SingleLineMethods',
+                                      '1   DefWithParentheses',
+                                      '--',
+                                      '15  Total',
+                                      '',
+                                      ''].join("\n"))
+      end
+
       # In this example, the auto-correction (changing "raise" to "fail")
       # creates a new problem (alignment of parameters), which is also
       # corrected automatically.
diff --git a/spec/rubocop/cop/style/single_line_methods_spec.rb b/spec/rubocop/cop/style/single_line_methods_spec.rb
index 17dda818120e..bfe74d780b5a 100644
--- a/spec/rubocop/cop/style/single_line_methods_spec.rb
+++ b/spec/rubocop/cop/style/single_line_methods_spec.rb
@@ -49,4 +49,42 @@
                          'end'])
     expect(cop.offences).to be_empty
   end
+
+  it 'auto-corrects def with semicolon after method name' do
+    corrected = autocorrect_source(cop,
+                                   ['  def some_method; body end # Cmnt'])
+    expect(corrected).to eq ['  # Cmnt',
+                             '  def some_method; ',
+                             '    body ',
+                             '  end '].join("\n")
+  end
+
+  it 'auto-corrects defs with parentheses after method name' do
+    corrected = autocorrect_source(cop, ['  def self.some_method() body end'])
+    expect(corrected).to eq ['  def self.some_method() ',
+                             '    body ',
+                             '  end'].join("\n")
+  end
+
+  it 'auto-corrects def with argument in parentheses' do
+    corrected = autocorrect_source(cop, ['  def some_method(arg) body end'])
+    expect(corrected).to eq ['  def some_method(arg) ',
+                             '    body ',
+                             '  end'].join("\n")
+  end
+
+  it 'auto-corrects def with argument and no parentheses' do
+    corrected = autocorrect_source(cop, ['  def some_method arg; body end'])
+    expect(corrected).to eq ['  def some_method arg; ',
+                             '    body ',
+                             '  end'].join("\n")
+  end
+
+  it 'auto-corrects def with semicolon before end' do
+    corrected = autocorrect_source(cop, ['  def some_method; b1; b2; end'])
+    expect(corrected).to eq ['  def some_method; ',
+                             '    b1; ',
+                             '    b2; ',
+                             '  end'].join("\n")
+  end
 end