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The French champions reached their first Champions League final and were finally hoping to capture silverware in Europe's top-tier club competition.
But Thomas Tuchel's men were unable to mount a successful comeback in Lisbon after Bayern broke the deadlock in the second half.
Bayern took the lead in the 59th minute as Joshua Kimmich delivered an inch-perfect ball into the box.
And an unmarked Kingsley Coman lined up the perfect header to bury the ball past Keylor Navas into the corner of the net.
Both sides had clear opportunities to open the scoring in an end-to-end first half at the Estadio da Luz in Lisbon.
Kylian Mbappe slipped the ball through to Neymar, who darted into the box and saw his shot superbly denied by Manuel Neuer.
Only minutes later the in-form Robert Lewandowski received the ball inside the box, spun on the spot and fired off a shot.
The 32-year-old Polish striker's shot beat Navas, only to see his effort come bouncing off the post.
However, Mbappe missed a brilliant opportunity to put his side ahead going into half-time.
PSG capitalised on a howler from the Bayern defence as the 21-year-old French forward slipped the ball into Ander Herrera and received it back immediately.
Mbappe only had Neuer to beat at close range, but the PSG superstar shockingly fired his shot straight into the Bayern 'keeper's arms.
Bayern now add the Champions League trophy to their German Cup and Bundesliga triumphs this season.
Featured Image Credit: PA
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