Paul Burke who was as accurate as ever with the boot had opened the scoring after 14 minutes with a penalty but neither side was able to gain the upper hand until just before the break when Mossie Lawlor was able to snatch an intercept - after Adam Larkin had thrown a speculative pass - and race away for the games first try - however Burke was unable to add the extras.
Ulster were finally on the board when Larkin knocked over a penalty eight minutes into the second period, but Burke had soon negated this with a second kick of his own but failed to open a bigger margin when his next chance went just wide
However soon after Ronan Frost was penalised for a deliberate charge down and Burke stretched Munster's lead from the resulting penalty, while more Ulster indiscipline allowed Burke to add three more points only a few minutes later.
Despite Ulster coach Mark McCall making a hand full of replacements there was no way back for the home side with Shaun Payne rubber stamping the win in injury time with his side's second try - Burke converting to give a personal haul of 14 points.