He birdied the 15th to break a tie with Loren Roberts, then made putts of more than 30 feet on the 17th and 18th Sunday to beat Roberts, the second-round leader.
Sluman, who joined the senior tour after turning 50 last Sept. 11, shot an 8-under 64 and finished at 17-under 199 at the 6,471-yard Nashawtuc Country Club. It was his first victory since the Greater Milwaukee Open on the PGA tour in June 2002.
Sluman and Roberts were tied after 10 holes when rain suspended play. They remained tied until Sluman sank a 13-foot putt at the 338-yard 15th.