Mize eagled No. 17 and birdied the 18th to finish off his round.
“I just think it was an ideal day to play golf,” said the 53-year-old Mize, the 2010 Montreal Championship winner for his lone title on the 50-and-over tour.
Tom Lehman, Kenny Perry and Russ Cochran shot 64. Mike Goodes, who won the qualifier on Tuesday and was partnered with Mize, is fifth after 65.
Mize matched his career low. He shot 62 once on the PGA Tour in 1985 at Los Angeles, this week’s stop on the PGA Tour.
Mize hit 12 of 14 fairways, all 18 greens and had just 27 putts.
“It doesn’t surprise me when Larry Mize makes a putt,” said Goodes. “If you ever watch that silky stroke of his, he’s got one of the prettiest strokes ever.”
LPGA TOUR: In Chonburi, Thailand, Karrie Webb had a birdie and three pars today in the completion of the lightning-delayed second round of the LPGA Thailand to increase her lead to three strokes.
Webb finished with 7-under-par 65 to reach 11-under on Siam Country Club’s Pattaya Old Course. The Australian aced the 159-yard 12th hole with a 6-iron on Friday and followed with a bogey and a par before play was called for the day.
EUROPEAN TOUR: In New Delhi, Peter Whiteford shot 4-under-par 68 to take a two-shot lead after the second round of the Avantha Masters.
Whiteford, who shared the first-round lead with Alejandro Canizares after 66, moved to 10-under 134 at the halfway stage as he seeks his first win on the European Tour.
Canizares is tied for 16th after a second-round 73 left him with a 139 total.
John Daly, a two-time major winner with titles at the 1991 PGA Championship and the 1995 British Open, withdrew with an elbow injury during his first-round 79.
NATIONWIDE TOUR: In Bogota, Colombia, Billy Horschel shot his second consecutive 5-under-par 66 to take lead in the Colombia Championship.
He leads Brian Smock (68 on Friday) by two shots. Augusta’s Scott Parel had 71 and is tied for 24th place.