diff --git a/config/set/coding-style/coding-style.yaml b/config/set/coding-style/coding-style.yaml
index 4cc1451990bf..4cbae0ff2a1a 100644
--- a/config/set/coding-style/coding-style.yaml
+++ b/config/set/coding-style/coding-style.yaml
@@ -36,3 +36,5 @@ services:
     Rector\CodingStyle\Rector\Function_\CamelCaseFunctionNamingToUnderscoreRector: null
     Rector\CodingStyle\Rector\Use_\SplitGroupedUseImportsRector: null
     Rector\CodingStyle\Rector\Variable\UnderscoreToPascalCaseVariableAndPropertyNameRector: null
+
+    Rector\CodingStyle\Rector\ClassMethod\RemoveDoubleUnderscoreInMethodNameRector: null
diff --git a/config/set/php/php53.yaml b/config/set/php/php53.yaml
index c9f4edb4ed6f..878af69c323b 100644
--- a/config/set/php/php53.yaml
+++ b/config/set/php/php53.yaml
@@ -1,3 +1,5 @@
 services:
     Rector\Php53\Rector\Ternary\TernaryToElvisRector: null
     Rector\Php53\Rector\FuncCall\DirNameFileConstantToDirConstantRector: null
+    Rector\Php53\Rector\Assign\ClearReturnNewByReferenceRector: null
+    Rector\Php53\Rector\Variable\ReplaceHttpServerVarsByServerRector: null
diff --git a/docs/rector_rules_overview.md b/docs/rector_rules_overview.md
index c7527539c591..2701ef56368a 100644
--- a/docs/rector_rules_overview.md
+++ b/docs/rector_rules_overview.md
@@ -1,4 +1,4 @@
-# All 499 Rectors Overview
+# All 500 Rectors Overview
 
 - [Projects](#projects)
 - [General](#general)
@@ -11,7 +11,7 @@
 - [CakePHP](#cakephp) (5)
 - [Celebrity](#celebrity) (3)
 - [CodeQuality](#codequality) (53)
-- [CodingStyle](#codingstyle) (31)
+- [CodingStyle](#codingstyle) (32)
 - [DeadCode](#deadcode) (40)
 - [Doctrine](#doctrine) (16)
 - [DoctrineCodeQuality](#doctrinecodequality) (2)
@@ -1919,6 +1919,27 @@ services:
 
 <br>
 
+### `RemoveDoubleUnderscoreInMethodNameRector`
+
+- class: [`Rector\CodingStyle\Rector\ClassMethod\RemoveDoubleUnderscoreInMethodNameRector`](/../master/rules/coding-style/src/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector.php)
+- [test fixtures](/../master/rules/coding-style/tests/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector/Fixture)
+
+Non-magic PHP object methods cannot start with "__"
+
+```diff
+ class SomeClass
+ {
+-    public function __getName($anotherObject)
++    public function getName($anotherObject)
+     {
+-        $anotherObject->__getSurname();
++        $anotherObject->getSurname();
+     }
+ }
+```
+
+<br>
+
 ### `RemoveUnusedAliasRector`
 
 - class: [`Rector\CodingStyle\Rector\Use_\RemoveUnusedAliasRector`](/../master/rules/coding-style/src/Rector/Use_/RemoveUnusedAliasRector.php)
diff --git a/rules/coding-style/src/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector.php b/rules/coding-style/src/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector.php
new file mode 100644
index 000000000000..d13ea029e609
--- /dev/null
+++ b/rules/coding-style/src/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector.php
@@ -0,0 +1,80 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Rector\CodingStyle\Rector\ClassMethod;
+
+use Nette\Utils\Strings;
+use PhpParser\Node;
+use PhpParser\Node\Expr\MethodCall;
+use PhpParser\Node\Expr\StaticCall;
+use PhpParser\Node\Identifier;
+use PhpParser\Node\Stmt\ClassMethod;
+use Rector\CodingStyle\ValueObject\ObjectMagicMethods;
+use Rector\Core\Rector\AbstractRector;
+use Rector\Core\RectorDefinition\CodeSample;
+use Rector\Core\RectorDefinition\RectorDefinition;
+
+/**
+ * @sponsor Thanks https://twitter.com/afilina for sponsoring this rule
+ *
+ * @see \Rector\CodingStyle\Tests\Rector\ClassMethod\RemoveDoubleUnderscoreInMethodNameRector\RemoveDoubleUnderscoreInMethodNameRectorTest
+ */
+final class RemoveDoubleUnderscoreInMethodNameRector extends AbstractRector
+{
+    public function getDefinition(): RectorDefinition
+    {
+        return new RectorDefinition('Non-magic PHP object methods cannot start with "__"', [
+            new CodeSample(
+                <<<'CODE_SAMPLE'
+class SomeClass
+{
+    public function __getName($anotherObject)
+    {
+        $anotherObject->__getSurname();
+    }
+}
+CODE_SAMPLE
+                ,
+                <<<'CODE_SAMPLE'
+class SomeClass
+{
+    public function getName($anotherObject)
+    {
+        $anotherObject->getSurname();
+    }
+}
+CODE_SAMPLE
+            ),
+        ]);
+    }
+
+    public function getNodeTypes(): array
+    {
+        return [ClassMethod::class, MethodCall::class, StaticCall::class];
+    }
+
+    /**
+     * @param ClassMethod|MethodCall|StaticCall $node
+     */
+    public function refactor(Node $node): ?Node
+    {
+        $methodName = $this->getName($node->name);
+        if ($methodName === null) {
+            return null;
+        }
+
+        if (in_array($methodName, ObjectMagicMethods::METHOD_NAMES, true)) {
+            return null;
+        }
+
+        if (! Strings::match($methodName, '#__(.*?)#')) {
+            return null;
+        }
+
+        $newName = Strings::substring($methodName, 2);
+        $node->name = new Identifier($newName);
+
+        return $node;
+    }
+}
diff --git a/rules/coding-style/src/ValueObject/ObjectMagicMethods.php b/rules/coding-style/src/ValueObject/ObjectMagicMethods.php
new file mode 100644
index 000000000000..f9cf3c5352a6
--- /dev/null
+++ b/rules/coding-style/src/ValueObject/ObjectMagicMethods.php
@@ -0,0 +1,31 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Rector\CodingStyle\ValueObject;
+
+final class ObjectMagicMethods
+{
+    /**
+     * @var string[]
+     */
+    public const METHOD_NAMES = [
+        '__call',
+        '__callStatic',
+        '__clone',
+        '__construct',
+        '__debugInfo',
+        '__destruct',
+        '__get',
+        '__invoke',
+        '__isset',
+        '__serialize',
+        '__set',
+        '__set_state',
+        '__sleep',
+        '__toString',
+        '__unserialize',
+        '__unset',
+        '__wakeup',
+    ];
+}
diff --git a/rules/coding-style/tests/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector/Fixture/call.php.inc b/rules/coding-style/tests/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector/Fixture/call.php.inc
new file mode 100644
index 000000000000..3aa2b14e647a
--- /dev/null
+++ b/rules/coding-style/tests/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector/Fixture/call.php.inc
@@ -0,0 +1,61 @@
+<?php
+
+namespace Rector\CodingStyle\Tests\Rector\ClassMethod\RemoveDoubleUnderscoreInMethodNameRector\Fixture;
+
+final class MethodCalling
+{
+    public function run(MyClass $myClass)
+    {
+        $myClass->__doSomething();
+
+        $myClass->__construct();
+        $myClass->__destruct();
+        $myClass->__call();
+        $myClass->__callStatic();
+        $myClass->__get();
+        $myClass->__set();
+        $myClass->__isset();
+        $myClass->__unset();
+        $myClass->__sleep();
+        $myClass->__wakeup();
+        $myClass->__serialize();
+        $myClass->__unserialize();
+        $myClass->__toString();
+        $myClass->__invoke();
+        $myClass->__set_state();
+        $myClass->__debugInfo();
+    }
+}
+
+?>
+-----
+<?php
+
+namespace Rector\CodingStyle\Tests\Rector\ClassMethod\RemoveDoubleUnderscoreInMethodNameRector\Fixture;
+
+final class MethodCalling
+{
+    public function run(MyClass $myClass)
+    {
+        $myClass->doSomething();
+
+        $myClass->__construct();
+        $myClass->__destruct();
+        $myClass->__call();
+        $myClass->__callStatic();
+        $myClass->__get();
+        $myClass->__set();
+        $myClass->__isset();
+        $myClass->__unset();
+        $myClass->__sleep();
+        $myClass->__wakeup();
+        $myClass->__serialize();
+        $myClass->__unserialize();
+        $myClass->__toString();
+        $myClass->__invoke();
+        $myClass->__set_state();
+        $myClass->__debugInfo();
+    }
+}
+
+?>
diff --git a/rules/coding-style/tests/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector/Fixture/declaration.php.inc b/rules/coding-style/tests/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector/Fixture/declaration.php.inc
new file mode 100644
index 000000000000..7508444e97b7
--- /dev/null
+++ b/rules/coding-style/tests/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector/Fixture/declaration.php.inc
@@ -0,0 +1,57 @@
+<?php
+
+namespace Rector\CodingStyle\Tests\Rector\ClassMethod\RemoveDoubleUnderscoreInMethodNameRector\Fixture;
+
+class MyClass
+{
+    function __doSomething() {}
+
+    function __construct(){}
+    function __destruct(){}
+    function __call($name, $value){}
+    static function __callStatic($name, $value){}
+    function __get($value){}
+    function __set($key, $value){}
+    function __isset($key){}
+    function __unset($key){}
+    function __sleep(){}
+    function __wakeup(){}
+    function __serialize(){}
+    function __unserialize(){}
+    function __toString(){}
+    function __invoke(){}
+    function __set_state(){}
+    function __clone(){}
+    function __debugInfo(){}
+}
+
+?>
+-----
+<?php
+
+namespace Rector\CodingStyle\Tests\Rector\ClassMethod\RemoveDoubleUnderscoreInMethodNameRector\Fixture;
+
+class MyClass
+{
+    function doSomething() {}
+
+    function __construct(){}
+    function __destruct(){}
+    function __call($name, $value){}
+    static function __callStatic($name, $value){}
+    function __get($value){}
+    function __set($key, $value){}
+    function __isset($key){}
+    function __unset($key){}
+    function __sleep(){}
+    function __wakeup(){}
+    function __serialize(){}
+    function __unserialize(){}
+    function __toString(){}
+    function __invoke(){}
+    function __set_state(){}
+    function __clone(){}
+    function __debugInfo(){}
+}
+
+?>
diff --git a/rules/coding-style/tests/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector/RemoveDoubleUnderscoreInMethodNameRectorTest.php b/rules/coding-style/tests/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector/RemoveDoubleUnderscoreInMethodNameRectorTest.php
new file mode 100644
index 000000000000..5ec61aee51d9
--- /dev/null
+++ b/rules/coding-style/tests/Rector/ClassMethod/RemoveDoubleUnderscoreInMethodNameRector/RemoveDoubleUnderscoreInMethodNameRectorTest.php
@@ -0,0 +1,34 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Rector\CodingStyle\Tests\Rector\ClassMethod\RemoveDoubleUnderscoreInMethodNameRector;
+
+use Iterator;
+use Rector\CodingStyle\Rector\ClassMethod\RemoveDoubleUnderscoreInMethodNameRector;
+use Rector\Core\Testing\PHPUnit\AbstractRectorTestCase;
+use SplFileInfo;
+
+final class RemoveDoubleUnderscoreInMethodNameRectorTest extends AbstractRectorTestCase
+{
+    /**
+     * @dataProvider provideDataForTest()
+     */
+    public function test(string $file): void
+    {
+        $this->doTestFile($file);
+    }
+
+    /**
+     * @return Iterator<SplFileInfo>
+     */
+    public function provideDataForTest(): Iterator
+    {
+        return $this->yieldFilesFromDirectory(__DIR__ . '/Fixture');
+    }
+
+    protected function getRectorClass(): string
+    {
+        return RemoveDoubleUnderscoreInMethodNameRector::class;
+    }
+}
diff --git a/rules/php53/src/Rector/Assign/ClearReturnNewByReferenceRector.php b/rules/php53/src/Rector/Assign/ClearReturnNewByReferenceRector.php
index cd8170300edc..2051cc10cdf3 100644
--- a/rules/php53/src/Rector/Assign/ClearReturnNewByReferenceRector.php
+++ b/rules/php53/src/Rector/Assign/ClearReturnNewByReferenceRector.php
@@ -14,7 +14,7 @@
 
 /**
  * @sponsor Thanks https://twitter.com/afilina for sponsoring this rule
-
+ *
  * @see https://3v4l.org/UJN6H
  * @see \Rector\Php53\Rector\Assign\ClearReturnNewByReferenceRector
  */