diff --git src/wp-includes/shortcodes.php src/wp-includes/shortcodes.php
index f052362..d2b392b 100644
--- src/wp-includes/shortcodes.php
+++ src/wp-includes/shortcodes.php
@@ -605,7 +605,20 @@ function strip_shortcodes( $content ) {
 
 	// Find all registered tag names in $content.
 	preg_match_all( '@\[([^<>&/\[\]\x00-\x20=]++)@', $content, $matches );
-	$tagnames = array_intersect( array_keys( $shortcode_tags ), $matches[1] );
+
+	$tags_to_remove = array_keys( $shortcode_tags );
+
+	/**
+	 * Filters the list of shortcode tags to remove from the content.
+	 *
+	 * @since 4.7.0
+	 *
+	 * @param array  $tag_array Array of shortcode tags to remove.
+	 * @param string $content   Content to remove shortcode tags from.
+	 */
+	$tags_to_remove = apply_filters( 'strip_shortcodes_tagnames', $tags_to_remove, $content );
+
+	$tagnames = array_intersect( $tags_to_remove, $matches[1] );
 
 	if ( empty( $tagnames ) ) {
 		return $content;
diff --git tests/phpunit/tests/shortcode.php tests/phpunit/tests/shortcode.php
index e807f95..ec25f76 100644
--- tests/phpunit/tests/shortcode.php
+++ tests/phpunit/tests/shortcode.php
@@ -340,15 +340,45 @@ EOF;
 		$this->assertEquals( $test_string, shortcode_unautop( wpautop( $test_string ) ) );
 	}
 
+	function data_test_strip_shortcodes() {
+		return array(
+			array( 'before', 'before[gallery]' ),
+			array( 'after', '[gallery]after' ),
+			array( 'beforeafter', 'before[gallery]after' ),
+			array( 'before[after', 'before[after' ),
+			array( 'beforeafter', 'beforeafter' ),
+			array( 'beforeafter', 'before[gallery id="123" size="medium"]after' ),
+			array( 'before[unregistered_shortcode]after', 'before[unregistered_shortcode]after' ),
+			array( 'beforeafter', 'before[footag]after' ),
+			array( 'before  after', 'before [footag]content[/footag] after' ),
+			array( 'before  after', 'before [footag foo="123"]content[/footag] after' ),
+		);
+	}
+
 	/**
 	 * @ticket 10326
+	 *
+	 * @dataProvider data_test_strip_shortcodes
+	 *
+	 * @param string $expected  Expected output.
+	 * @param string $content   Content to run strip_shortcodes() on.
 	 */
-	function test_strip_shortcodes() {
-		$this->assertEquals('before', strip_shortcodes('before[gallery]'));
-		$this->assertEquals('after', strip_shortcodes('[gallery]after'));
-		$this->assertEquals('beforeafter', strip_shortcodes('before[gallery]after'));
+	function test_strip_shortcodes( $expected, $content ) {
+		$this->assertEquals( $expected, strip_shortcodes( $content ) );
 	}
 
+	/**
+	 * @ticket 37767
+	 */
+	function test_strip_shortcodes_filter() {
+		add_filter( 'strip_shortcodes_tagnames', array( $this, '_filter_strip_shortcodes_tagnames' ) );
+		$this->assertEquals( 'beforemiddle [footag]after', strip_shortcodes( 'before[gallery]middle [footag]after' ) );
+		remove_filter( 'strip_shortcodes_tagnames', array( $this, '_filter_strip_shortcodes_tagnames' ) );
+	}
+
+	function _filter_strip_shortcodes_tagnames() {
+		return array( 'gallery' );
+	}
 
 	// Store passed in shortcode_atts_{$shortcode} args
 	function _filter_atts( $out, $pairs, $atts ) {