The game was tight and scrappy early on but Limerick opened up a gap in the closing stages of the first half.
They piled on the pressure in the second, with goals from Aaron Gillane and Peter Casey seeing them run out as comfortable winners.
The victory was marred by a serious injury to Peter Casey, which he sustained in the process of scoring his goal.
It was a worrying loss for Tipperary, but they have no time to feel sorry for themselves with a game against Waterford coming up next Saturday.
Limerick have two weeks before they’re out again, in the third round against Cork.