Rob Penney's side won by 38-6 in their Pool 6 clash at Thomond Park.
Munster scored six tries through James Coughlan, Johne Murphy, Conor Murray, Peter O'Mahony, Simon Zebo and Felix Jones.
Also in Pool 6, Gloucester won at Perpignan by 36-18.
Should Clermont get a bonus point win at home to Racing Metro today, then it looks like it will be Munster at home to Toulouse in the quarter-finals, while Leinster will face a trip to the reigning champions Toulon.
