Gary Taylor-Fletcher smashed home from 30 yards to give the home side a deserved first-half lead.
Rovers doubled their lead with 10 minutes left when James Norwood registered his 10th goal of the season.
Torquay got one back from a late far-post Shaun Harrad header but Rovers held on for a third straight win.
Tranmere Rovers moved back up into the National League play-off places with a hard-fought victory over struggling Torquay United.