Glasgow boss Gregor Townsend hailed his side's resilience after their come-from-behind semi-final win over Ulster at Scotstoun Stadium on Friday.
The Warriors weren't at their best and were trailing for most of the match but a try in the game's closing stages from DTH van der Merwe, which Finn Russell converted, secured their place in the final.
"They played very well and we made a few errors but the character and effort that went in and the challenges the players put in made we very proud and made the supporters very proud," said Townsend.
"We had most of the possession in the second half but when they scored a penalty to go five points up I knew it would be tough. The try was fantastic, a lot of relentless phase play against a quality defence and to score in the corner was great.
"I was thinking extra time and did not know how many bodies we would have had, it was a great kick from Finn Russell a match-winning kick. I was so proud."