The win was Quigley's 11th on the Champions Tour. He has won this event three times, having also won here in 2000.
David Edwards, who led after the first two rounds, closed with a 4-under 68 to take second place at 15-under-par 201. Joe Ozaki (66) and Brad Bryant (70) shared third place at minus-12.
Quigley trailed by two entering the round. He dropped in a birdie on the first to move to 10 under. After a birdie on the par-4 third, Quigley got within one of Edwards' lead as he birdied the par-5 fourth.
The 59-year-old Quigley briefly grabbed a share of the lead with a birdie on the fifth on the Nicklaus Golf Club at LionsGate.
Edwards, however, was on a roll of his own. He birdied the second, then chipped in for birdie on three. Edwards got up and down for birdie on four to move to 14 under, one clear of Quigley.
The 50-year-old Edwards tripped to a bogey on the fifth to slip back to 13 under and a share of the lead with Quigley.
Quigley birdied the seventh to maintain a share of the lead as Edwards stuck his approach 3 feet from the cup at six to set up birdie. Quigley began to pull away from there.
He drained a long birdie putt on the par-4 ninth, then two-putted for birdie from 9 feet at the 10th to move two clear of Edwards at 16 under.
While those two were battling, Lonnie Nielsen was making a run for the lead as well. He posted four birdies on the front nine to climb to minus-12.
Nielsen eagled the 10th, then birdied the 11th to get into second place at 15 under. Things fell apart for Nielsen at the 14th when he found water off the tee. That led to a double bogey, then he carded two more bogeys on his way in to end in a tie for fifth place.
Quigley got to 17 under with a two-putt birdie on the par-5 12th. He parred four straight from the 13th, then knocked his second shot to 3 feet at 17 to set up his final birdie.
Edwards collected a birdie on 10 from 17 feet out to move within one of Quigley, but he parred four in a row from there. Edwards got to 16 under with a birdie at the 15, but he bogeyed the next to fall three back. He parred the final two to remain there.
Nielsen posted a 3-under 69 to end in a tie for fifth at 11-under-par 205. He finished alongside Tim Simpson (67), Keith Fergus (70) and Bob Gilder (69).
R.W. Eaks, Tom Jenkins and Massy Kuramoto all posted 3-under 69 in the final round to share ninth with Gary McCord (71) at minus-10.