Tommy Tolles, who held a share of the lead entering the final round, could do no better than an even-par 72 at The Glen Club to let the title slip away. Tolles finish two strokes back alone in second place at 15-under-par 273.
Stolz battled through a tight leaderboard as several players made runs to the top. After four bogeys and three birdies through his first 11 holes, Stolz stood at 12-under par on the outside looking in.
The Australian made a remarkable charge down the stretch however, starting with a birdie at the par-4 13th. Stolz added a birdie at the 14th and made it three in a row with a birdie at the very next hole.
'I knew that I had been playing really nicely before coming here,' said Stolz, who earned $90,000 for the victory.
Stolz parred the 16th but got things going again with a birdie at the par-3 17th. He capped his round with a birdie at the last to secure the victory.
The win was a perfect compensation for Stolz, who pulled out of a U.S. Open qualifier earlier in the week to compete at this event.
'Even though it would have been nice to play in the U.S. Open, I made the right decision to play here,' said Stolz, who has amassed multiple victories around the world. 'I needed to improve my position on the money list.'
Tolles was on fire early with a back-to-back birdies from the first to jump out to an early lead at 17-under. It was all downhill from that point on, however.
The 36-year-old stumbled with three bogeys on the inward nine. He salvaged what he could with a birdie at the 17th but it was already too late.
D.A. Points who matched the course-record on Saturday to grab a share of the third-round lead struggled with a final-round 73. He finished three shots back in a tie for third with Daniel Chopra at 14-under-par 274.
Victor Schwamkrug and Jimmy Green were one shot further back at 13-under-par 275.
Todd Demsey, Scott Sterling and Vaughn Taylor tied for seventh at 11-under-par 277. Gary Nicklaus carded a final-round 70 to finish one shot further back at 10-under-par 278 along with David Branshaw and Wes Short.