Like last week against Leinster, Munster made a poor opening to this contest and found themselves trailing 21-14 at half time.
Munster dominated the second half and should have won the game as they missed some kickable penalty chances in the final few minutes and also a drop goal effort.
Brian O'Sullivan scored two tries and his brother Dermot one. Dara Meade kicked two conversions and a penalty and Ollie McGlinchey also added a conversion.
Munster: Pat O'Connor (Cashel); Mike Deane (Tralee), Dermot O'Sullivan (Tralee),
Kieran Merrigan (Clanwilliam), Ciaran Ó Coileain (Corca Dhuibhne); Dara Meade
(Kanturk), Ollie McGlinchey (Cashel); Edward Horgan (Cashel), Darragh Fitzgerald (St.
Mary's), Trevor Downes (Kilrush); J.J. Frahill (Cobh Pirates), Eoin O'Connor (Cashel);
Brian O'Sullivan (Tralee), Ger Luby (Kilfeacle) capt, Tadgh Wright (Kinsale).
Replacements: Rory O'Connor (Cashel), Alan O'Donnell (Galbally), Tom Keveney
(Cobh Pirates), Brian Lyons (Thurles), Barry O'Dwyer (Thurles), Kevin Quinlan
(Cashel), David McCormack (Clanwilliam).