Neymar's replacement, Argentine Angel Di Maria, did about what Neymar did in the first leg for PSG: dribbled around a lot, took some shots, but never really created anything meaningful.
Nevertheless, Real Madrid marched on to the quarter-finals in a performance which will have delighted Zinédine Zidane.
PSG were then reduced to 10 men in the 66th minute when Marco Verratti picked up his second yellow card for dissent, which left the hosts with a mountain to climb in Paris.
Madrid won 5-2 in aggregate scoring and will find out its opponent next week for the quarterfinal round.
The home side looked very much one dimensional at times as it looked very apparent they were missing their start player Neymar but they did create a rare chance in the 37th minute as Thiago Motta's pass met Kylian Mbappe who shot was denied by Keylor Navas for a corner.
With Toni Kroos and Luka Modric starting on the bench after returning from injury, Real struggled to control the midfield but PSG did not threaten in a boring start to the game.
Real have reached the quarter-final for the eighth successive time in the Champions League.
PSG striker Edinson Cavani equalised with 19 minutes left, only for Casemiro to give Real victory at the Parc des Princes. We'll continue with patience, and build a team that can win.
Big call now for Zidane over Kroos and Modric, has said himself that he trusts players to tell him if they are ready to return.
They have now exited the competition in the last 16 for the last two years under Unai Emery.
After falling short at 1-3 in the first leg, PSG, without their injured Brazilian star Neymar, knew perfectly that they needed to speed up the game here on Tuesday, while seeing no concrete effect in front of the two-time defending champion in the first half. "We didn't do that so we deserved to be eliminated", the German winger added.
Ronaldo, the Champions League's all-time leading scorer, is peaking just as the tournament enters its decisive stages, having scored 11 goals in his last six matches in all competitions.