The 50-year-old Sluman closed with a 5-under-par 67 for an overall score of 14-under 202.
Sluman, a six-time winner on the PGA Tour, got his first Champions Tour win at the Bank of America Championship in Concord, Mass., in June.
"I'm just happy to be playing the golf I had hoped to play coming out here," said Sluman, in his first year on the 50-and-over tour. "It's been a struggle, but I've worked hard. Golf is a game of ebbs and flows and things are going well right now."