After last week's nine-goal thriller in the French capital, Ousmane Dembele's third-minute goal at the Allianz Arena on Wednesday night (Thursday AEST) got the second leg off to the perfect start for the holders and left Bayern chasing a two-goal deficit that ultimately proved too much.
Harry Kane's goal in the fourth minute of added time made it 1-1 on the night in Munich but arrived too late to seriously unsettle the visitors, who will play Arsenal in the final on May 30 in Budapest.
"It was very intense, very difficult," the PSG boss said.
"The character we showed against a team like Bayern is so positive. We're so happy to reach a second Champions League final in a row.
"In two days I'm going to celebrate my birthday. I'm very happy. We're in the next phase of the competition ... We want to give our supporters that kind of gift."
The defending champions opened up a two-goal lead in the tie inside three minutes of the return in Germany.
Georgian playmaker Khvicha Kvaratskhelia raced down the left and pulled the ball back for Dembele to hammer a first-time finish into the roof of the net.
Bayern were furious not to have been awarded a penalty midway through the half. Goalkeeper Matvei Safonov made an uncertain punch and the ball landed with Vitinha, who in attempting to clear slammed the ball against the arm of teammate Joao Neves. As it was another PSG player that had made the clearance, it was not deemed to be handball despite Neves' arm being well away from his body.
"We have to look at some of the phases that were decided by the officials across the two games which, it's never an excuse for everything ... but it matters," Bayern manager Vincent Kompany told TNT Sports.
"If we look at both legs probably too much went against us. The guys gave everything and we tried against a fantastic PSG team."
Manuel Neuer, and Safono, produced crucial second-half saves as the European champions looked to seal it.
Kane finally found space inside the box from Alphonso Davies' pass to lash home, but a famous fightback was not forthcoming for the former Tottenham skipper, who would have loved taking on Spurs' North London rivals in the decider.
PSG already had good memories of Munich.
The city was the scene of last season's 5-0 demolition of Inter Milan to fulfil their Qatari owners' quest to become European champions for the first time.
Real Madrid are the last team to achieve back-to-back titles - winning three in a row from 2016-18.
With AP.
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