Alan, 69, and now-wife Rima Horton, 68, secretly got married in a small ceremony in New York earlier this year.
The actor revealed the big news only recently in an interview with German newspaper Bild.
"We are married. Just recently. It was great, because no one was there," the Huffington Post quotes Alan as saying.
"After the wedding in New York we walked across the Brooklyn Bridge and ate lunch."
Alan and Rima met when he was 19 and she was 18 and have been together for 50 years. The British actor is well-known for his work in film and on the stage, while Rima has reportedly worked as a university lecturer and has also served as a councillor in the London Borough of Kensington and Chelsea.