Marquinhos and Angel Di Maria fired the Ligue 1 winners into a comfortable position at half-time before Juan Bernat added some gloss to the scoreline after the break.
Former Manchester United winger Di Maria floated in a delicious cross in the 13th minute which Marquinhos rose to meet and head home.
Leipzig gave the ball away for the second as Neymar's flick opened the door for Di Maria to fire home and double the lead.
A slip from Nordi Mukiele in the 56th minute allowed Bernat to poke home the ball for his second goal of the season to kill off the contest.
PSG vs RB Leipzig LIVE: Champions League semi-final updates, team news confirmed (Image: GETTY)
Trending
It was a devastating evening for Leipzig but PSG will be hoping to finally get their hands on the trophy they crave most.
The French capital club will discover their opponents when Lyon face Bayern Munich on Wednesday.
Lyon stunned Manchester City in the quarter-finals to set up the semi-final contest with the Bundesliga champions.
Bayern laid down a marker by thrashing Barcelona 8-2, a defeat which prompted the Nou Camp outfit to fire manager Quique Setien and sporting director Eric Abidal.
We use your sign-up to provide content in ways you've consented to and to improve our understanding of you. This may include adverts from us and 3rd parties based on our understanding. You can unsubscribe at any time. Read our Privacy Policy