Bury manager Alan Knill has allowed striker Glynn Hurst and defenders Paul Morgan and Steve Haslam to leave the club.
The trio helped the Shakers come within a goal of automatic promotion, before Bury suffered a play-off defeat at the hands of Shrewsbury Town.
Meanwhile, Richie Baker, Danny Racchi and Cameron Belford have all been offered new deals to remain at Gigg Lane.
Knill told the club's official website: "The good thing is that there will be no wholesale changes to the squad.
"We will be keeping the majority and hopefully adding more quality to the squad that will help us next season."