Assistant coach Dwayne Peel believes Ulster more than deserve their place in the Pro14 playoffs.
The province secured a home quarter-final with Friday night's 29-7 bonus point win over Edinburgh at Murrayfield.
They were helped by Munster's 37-28 win at Benetton which ensured Ulster will finish second in Conference B.
"We were determined to come here and do the job. We have achieved all we wanted to out of the game," said Peel.
"It was a winner-takes-all game and the boys prepared really well all week."
Ulster will face the team that finishes third in Conference A, which is currently held by Connacht, on the weekend of May 3-4.
Dan McFarland's sie are also assured of a place in next season's Heineken Champions Cup.
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Tries from Jordi Murphy and Robert Baloucoune eased Ulster into a 15-0 at the break, with Rob Lyttle and Billy Burns crossing in the second half.
"We were hurting on the Monday after our monumental effort in the Champions Cup quarter-final against Leinster and we couldn't produce the goods against Glasgow last week," added Peel.
"It was all about us coming to Murrayfield and performing and winning. We knew if we did that we would be in the play-offs and we are delighted. It's fantastic.
"As the game went on we had half an eye on the Benetton-Munster game to see what we needed in terms of points and in terms of what decisions we should make on the field.
"Everyone put a massive effort in so I'm pleased for the boys. From the last few rounds in Europe to what we have achieved now - the last couple of months have been good."
Man-of-the-match was Ireland international Iain Henderson who impressed as captain of the side.
Peel said: "Iain was brilliant. He leads the team really well in terms of talking on the pitch.
"There was a period of eight minutes in the first half where we turned the ball over three times in their 22 and I thought 'I hope that doesn't come back and bite us' because we put them in good positions.
"But I was delighted with the second half and some good defence. The boys can have a couple of deserved day off now and come in again towards the middle of next week ready for a big game with Leinster."
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