Ulster showed urgency and willingness in the early exchanges but too often handling errors disrupted any flow and momentum to their game.
Munster took the lead through 2 penalty goals as Ulster continued to struggle to find their rhythm.
As the half wore on, Peter Nelson and James McMahon made fine breaks only for the Munster defence to bring promising moves to a halt.
Ulster appeared to settle into the task and were rewarded with a try by centre Chris Farrell who showed great strength to power over the line.
The second half started well for Ulster who were now more controlled in contact retaining the ball with greater precision.
Two tries followed from pressure close to the Munster line by scrumhalf Conor Spence and prop Kyle McCall giving Ulster a 17-6 lead.
Despite resurgence from Munster who slotted another penalty, Ulster maintained their discipline and defence to win 17-9.
Coach Derek Suffern declared himself pleased with the result but frustrated at aspects of the teams play.
Following the defeat against Connacht, the team showed good character in training and indeed during the match. The squad now look forward to the challenge of Leinster at Donnybrook on Friday 23rd September (7pm kick off).