His wife confirmed the news to BBC Radio Lancashire.
The former deputy headmaster, who was from Lancashire, began his career as a stand-up comedian on the club circuit in the 1960s.
He became a household name when he began presenting Bullseye in 1981. The show ran for 14 years until 1995.
Bowen also had a number of TV acting roles, including in Muck and Brass, Jonathan Creek, The Grimleys, and as as Hoss Cartwright in the second series of Peter Kay's Phoenix Nights.
And he presented a live morning magazine programme on Radio Lancashire from 1999 to 2003.