Munster managed to get four tries on the board but their Investec Champions Cup journey ended emphatically as Union Bordeaux-Begles scored six of their own to run out 47-29 winners at Stade Chaban Delmas and advance to the semi-finals.
The province had conceded four tries by half-time as Damian Penaud, Maxime Lucu, Peter Samu and Jon Echegaray all touched down.
An Alex Nankivell try just before the break gave Munster a glimmer of hope and they rallied in the second half with Andrew Smith (2) and a penalty try helping them on the scoreboard as well as a late red card for Cyril Cazeaux.
Bordeaux kept them at arm's length, however, with Maxime Lamothe also getting a try before France wing Louis Bielle-Biarrey's late try put the icing on the cake for the hosts.
Having knocked out La Rochelle in the round of 16 with a dramatic 25-24 victory, the Irish province – winners in 2006 and 2008 – were unable to repeat the trick.
Bordeaux, who eliminated Ulster to advance to the last eight, ran in six tries and now face Toulon or defending champions Toulouse as they attempt to reach the final for the first time.
Munster made the worst possible start when Penaud went over for Bordeaux in the fifth minute, although Matthieu Jalibert struck a post with the conversion.
It doing so, Penaud broke the record for the number of tries in a Champions Cup campaign, his 12th seeing him surpass Chris Ashton’s tally of 11 in 2017.
Munster fly-half Jack Crowley, who this week signed a two-year contract extension with Munster to end speculation over a move to Leicester, kicked a penalty shortly afterwards.
Jalibert responded with a penalty of his own before Bordeaux added a further two tries by the 24th minute, the France international converting scores from Lucu and Samu, the impressive Penaud playing a big part in both.
Relentless Bordeaux pressure resulted in a penalty, which Jalibert put wide, but he did convert a fourth try by the French side from Echegaray.
Munster finished the half strongly and they got a try just before the break through Nankivell.
The New Zealand-born centre, cleared to play after a successful appeal against his two-game ban for his red card against Connacht in the United Rugby Championship last month, went over from close range with Crowley adding the extras.
After Jalibert missed a penalty, Munster reduced the arrears when Smith crossed, although Crowley was unable to add the extras.
Jalibert kicked two penalties either side of a Lamothe try before Munster were awarded a penalty try for a deliberate knock on and then Smith claimed his second try of the game, Crowley converting.
Bordeaux had Cyril Cazeaux sent off late on but there was still time for Bielle-Biarrey to score, which Lucu converted.
Union Bordeaux-Begles: Jon Echegaray; Damian Penaud, Yoram Moefana, Rohan Janse van Rensburg, Louis Bielle-Biarrey; Matthieu Jalibert, Maxime Lucu (capt); Jefferson Poirot, Maxime Lamothe, Ben Tameifuna; Adam Coleman, Cyril Cazeaux; Mahamadou Diaby, Guido Petti, Pete Samu
Replacements: Connor Sa, Matis Perchaud, Sipili Falatea, Pierre Bochaton, Marko Gazzotti, Bastien Vergnes-Taillefer, Yann Lesgourgues, Pablo Uberti
Munster: Thaakir Abrahams; Calvin Nash, Tom Farrell, Alex Nankivell, Andrew Smith; Jack Crowley, Craig Casey; Josh Wycherley, Diarmuid Barron, Oli Jager; Jean Kleyn, Tadhg Beirne (c); Peter O'Mahony, John Hodnett, Gavin Coombes.
Replacements: Niall Scannell, Mark Donnelly, Stephen Archer, Fineen Wycherley, Tom Ahern, Conor Murray, Seán O'Brien, Alex Kendellen.
