Gloucester's Henry Paul kicked 17 points and set up a second-half try for James Simpson-Daniel as Gloucester gained revenge for last season's nightmare.
Munster fought hard but in the end the Cherry and Whites were just too strong.
Ronan O'Gara kicked two penalties while Anthony Horgan scored a late try.
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Connacht got the worst possible start when a lively Pau took an early lead with the try from No. 14 Rio Jaouher which was converted by David Aucaugnes for a 7-0 lead. But Connacht refused to panic and two penalties from out-half Dave Hewitt soon had them back in touch.
Then a super break by lock Mike McCarthy was eventually finished off by Mike
Connacht produced a superb second-half performance. Early pressure gave Hewitt another penalty. A superb pack saw their exciting No. 8 John O'Sullivan score on 58 minutes to stretch the lead to 24-7. Eric Elwood, who started on the bench with Michael Bradley's rotation policy, came on for the last 30 minutes and provided a hugely steadying influence on proceedings. Then on 80 minutes sub scrum-half Conor O'Loughlin made a scintillating break from his own half and set up full-back Matt Mostyn who darted over for the try of the game.
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