First-half goals from Marquinhos and Angel Di Maria gave the French a considerable lead, before Juan Bernat sealed the victory early in the second half.
If Neymar had not yet produced another extravagant night in front of goal, the score could have been much worse for RB Leipzig. Under the leadership of young coach Julian Nagelsmann, the German side stunned their opponents and thrilled fans in this year's competition, but it proved a step too far against a star-studded PSG.
The Qatari club owners have spent huge sums of money to put together this squad, but tonight they will feel like every penny was worth it.
RB Leipzig is in a way the antithesis of PSG; a smaller group of gamers who are more than the sum of their parts compared to an array of expensive superstars.
But it was the PSG stars who started off the brightest by far and perhaps should have taken the lead in five minutes. Angel Di Maria passed a superb ball through RB Leipzig's defense for Neymar, who, like he did against Atlanta, missed a sharp chance in a face-to-face with the goalkeeper.
PSG quickly got the goal their early dominance deserved, but not through the Brazilian most would have anticipated.
Di Maria was the creator again, completing a fabulous free kick in the box to get Marquinhos home. The defender had been scoreless in the Champions League this season ahead of the round of 16 in Lisbon, but two in his last two games have helped place PSG in the final.
RB Leipzig looked overwhelmed and impressed by the opportunity. While neither of these clubs have much of an elite European pedigree to speak of, it was PSG who looked more at ease in this semi-final.
But given the way this exciting attacking team is coached by young coach Nagelsmann, Leipzig will always remain a threat.
In what was the team's first significant push into the PSG half of the pitch, Yussuf Poulsen connected with Konrad Laimer's cross but could only direct his effort a few inches from the post.
This match pitted master against apprentice; Nagelsmann, 33, considered the most exciting young coach in Europe, facing former mentor Thomas Tuchel.
Back in the days when Nagelsmann was a 20-year-old playing for German club Mainz, a serious knee injury prematurely ended his career. His trainer at the time was Tuchel, who guided him on a new path to becoming a manager.
Nagelsmann became the youngest coach in Bundesliga history when he took over from Hoffenheim in 2015 at the age of 28 and went on to become one of football's most admired managers for style of play. that he trains in his teams.
However, this willingness to play an attractive football brand ended up being Leipzig's downfall at the end of the second half against PSG.
Goalkeeper Peter Gulacsi's failed attempt to pass the ball from the back found only Ander Herrera, who re-passed a pass straight into Neymar's path. The Brazilian's superb first touch stroked the ball on the way to Di Maria and the Argentinian made no mistake in front of goal.
It was now a long way off for RB Leipzig and, in truth, the German team were lucky that the score was only 2-0. Neymar had passed up another glorious opportunity following some brilliant footwork from Kylian Mbappe, before crashing into a daring free kick outside the post.
However, in the knockout stages of the Champions League, PSG became synonymous with surrender.
Last season, he lost a 2-0 first-leg lead over Manchester United, his fate sealed by a controversial penalty scored by Marcus Rashford in the dying moments.
But it was three years ago that the French club suffered the most incredible outing of the Champions League, a memory so painful that many were saying PSG may never recover.
Leading 4-0 after the first leg in Paris, PSG surrendered in the second leg at Barcelona to lose 6-1 and fail once again in the competition that their Qatari owner has been desperate for since taking control of the club in 2011.
Perhaps sensing some trepidation, RB Leipzig started the second half on a high and Emil Forsberg's vicious strike pushed Sergio Rico into the PSG goal.
However, any lingering hope from Leipzig was quickly extinguished as Nordi Mukiele's costly slip gifted the ball to Di Maria, who fizzed into a brilliant cross which Bernat guided home with his header.
To Leipzig's credit, he continued to fight even at 3-0 but, without several missed opportunities, PSG could have added even more shine to an already sparkling score.
Bayern Munich or Lyon, who play on Wednesday, await PSG in Sunday's final and neither will be happy to face this scintillating frontline of PSG.
