Florida built a double-digit lead in the first eight minutes, opened a 17-point cushion by halftime and pulled ahead 70-34 on Mike Rosario's 3-pointer from the corner midway through the second half. Florida coasted from there, turning to its reserves for the final minutes.
Parker Smith led the Ospreys (2-2) with 17 points.
The only blemish for Florida was free-throw shooting. The Gators finished 16 of 29 from the charity stripe, the second consecutive game filled with misses for coach Billy Donovan's team. Florida was 13 of 21 from the line in an 81-74 loss against the No. 3 Buckeyes two nights earlier.
Donovan took the blame for the misses, saying he hadn't had his team work on free throws enough in practice.
But they were hardly a factor against North Florida.
Boynton was solid from the start, scoring from behind the arc, on drives, on jumpers and from the free-throw line. Rosario added 15 points, including a 4-of-6 performance from 3-point range. Walker overcame a rough start and finished with six rebounds and five assists.
The Gators were 11 of 29 from behind the arc, and had 18 assists on 32 baskets.
North Florida shot 34.5 percent and was 2 of 14 from 3-point range. Smith was 2 of 11. Travis Wallace finished with 12 points, and Andy Diaz added 10 for the Ospreys.
North Florida committed 21 turnovers, struggling to beat Florida's press and having trouble with Florida's size in the paint. Patric Young had seven points and five rebounds for Florida, and fellow forward Erik Murphy added 13 points.
The Gators played without forward Will Yeguete, who sat out because of a concussion.
Former Florida stars Joakim Noah and Jason Williams were in attendance.