After a number of seasons as the nearly men of European rugby, the Warriors finally ended their wait for a trophy, as they surged to a 31-13 victory including four tries in a great all-round display.
It was a fitting farewell for retiring lock Alastair Kellock, but on the day it was another Glasgow second row who stole the show.
Leone Nakarawa and his sensational offloading proved too much for Munster to handle, and after leading 21-10 at the break, Glasgow were able to see the game out in style with a final try to secure the title.
The Fijian got things started with a wonderful offload to send Rob Harley over for the first try and he was at it again soon after as DTH van der Merwe ran in the second of the afternoon.
When Stuart Hogg broke to put Henry Pyrgos in for a third, the game seemed over, but Munster fought back in trademark fashion.
A powerful finish from Andrew Smith got them back in it, and after an Ian Keatley penalty they were within eight points with over half an hour remaining.
That's where Glasgow's recent experience told as they refused to buckle, instead grabbing a fourth try through Finn Russell.
It was a fine display from the Warriors who had lost the final the year before against Leinster but gave Kellock the perfect send-off.
It was not to be for Munster legend Paul O'Connell, in what turned out to be his final club game, although it took an incredible defensive effort from Van der Merwe to hold him up in the second half in what was arguably the key moment in the game.
Having come so close in previous seasons, the Canadian winger and Glasgow were not about to let this one get away.
O'Connell, Kellock and Van der Merwe have all moved on, with the Canadian now at the Scarlets, so it's up to some new heroes to write their names in the history books of this famous fixture.
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