Martin's 10th birdie was his most spectacular shot in a round full of them as he chipped in from 55 feet on the par-3 17th hole. That came a hole after the 26-year-old former Clemson player he hit the flag on a chip from behind the green, setting up a tap-in par.
The previous record at TPC Louisiana was a 64, accomplished many times, including once earlier Thursday, when Andrew Svaboda did it to take a lead that held up until Martin surged past late in the day.
Peter Hanson and Sueng-Yul Noh were tied for third at 65.
Martin matched his career best Sunday with a third-place tie in the RBC Heritage at Hilton Head, S.C. He also finished third last month in the Puerto Rico Open.