Glover fired an 8-under 65 over the Kapalua Resort Plantation Course for a two-day total of 131. Only one member of the 28-player field failed to break par for 36 holes.
After playing a nine-hole stretch on Thursday in 9-under, Glover put together a 9-under burst of golf over a 12-hole span Friday. That run included his third eagle of the tournament, coming at the par-5 ninth.
"We were talking in the locker room before the round about whether we had ever been to Hawaii and seen this little wind," Glover said. "The course played pretty easy. I am going to have to keep making birdies."
John Rollins shot a 66 to finish alone in second at 134 while Martin Laird, Matt Kuchar, Sean O'Hair and defending champion Geoff Ogilvy were all at 135.
Defending Masters champion Angel Cabrera was alone at 136.
Glover was the surprise U.S. Open winner last year at Bethpage State Park in New York, holding off a challenge by Phil Mickelson.
Mickelson is not competing this week in a tournament that is open only to those who won on the PGA Tour last year. Neither is Tiger Woods, who is taking an undetermined amount of time off while attempting to sort out his personal life.