The actor played Nigel Pargetter for 27 years before being killed off in January.
Graham has been a regular reader for InterAct Reading Service for many years, reading at West Middlesex and Charing Cross Hospitals as well as being a regular reader at Wolfsen Stroke Club Wimbledon.
The gongs, voted on by radio and TV journalists, were held at the Theatre Royal, in West London, and it's fantastic that an InterAct Reader has won.