Liam Kearns's side defeated Offaly 2-11 to 0-12 at Sean Treacy Park in Tipperary Town.
Michael Quinlivan and Martin Dunne got the Premier County's goals.
The Tipp boss told Tipp FM Sport after the match that having secured their divisional status 'we're going to push as hard as we can' to win promotion to Division 2.
His team's next match is away to Longford next Sunday.
