Camden council is expected to decide on the application in the autumn after consulting the couple's neighbours and English Heritage.
Sir Ridley, nicknamed Mighty Hercules in Hollywood, is known for his love of fast cars, beautiful women and £20 Montecristo cigars. He began his career making commercials and he broke into drama by directing episodes of Z Cars in the Sixties.
He has made dozens of films, including Blade Runner, GI Jane and Hannibal, the sequel to The Silence Of The Lambs and also starring Anthony Hopkins as the murderous cannibal Hannibal Lecter.