Madrid, which has won the Champions League in three of the last four seasons, had appeared in control but PSG opened the scoring in the 33rd with Rabiot's shot from inside the area on a play that involved all three PSG forwards.
Real Madrid complete the comeback and surpassed Paris in a very entertaining game.
He then bagged his brace in the 83rd minute to take his Champions League goal tally to a staggering 101 for Real and earn an advantage against Neymar-led PSG.
However, a double from Ronaldo - including one from the penalty spot - and a late Marcelo effort saw the reigning champions turn things around in the Spanish capital.
"It's annoying because I think we did the right things", he said in his interview with beIN Sports.
Supporters wearing Neymar and Cristiano Ronaldo jerseys outside the Bernabeu hours before Wednesday's Real Madrid versus PSG match.
The strip made a memorable debut in the 7-0 thrashing of Maribor in the Champions League group stage, marking Liverpool's biggest ever away win in European competition.
PSG's threat was coming from across their front-line and they took the lead when Real goalkeeper Keylor Navas failed to collect Kylian Mbappe's cross under pressure from Neymar and the ball fell for Adrien Rabiot (right) to calmly finish.
Ronaldo struck again late on to put Los Blancos ahead in the last-16 first-leg tie before Marcelo completed the comeback win at the death.
Neymar, who joined the French Giants last summer for a world record €222 million claimed that Paris Saint-Germain's board has not provided him with enough support to win the Champions League this season, suggesting that they need to sign former teammate and Barcelona talisman Lionel Messi.
"But this is the Champions League and Madrid have the experience". This is a bad result, but we can cancel it out in the return leg.
Los Blancos started the second half on the front foot, with Ronaldo just failing to meet an Isco cross in the 48th minute during a hard period for the visitors.
On PSG's chances of beating Real in the return leg on March 6, he said: "I think it is hard, but nothing is impossible". As a result, they can be very vulnerable and Real Madrid in the end ruthlessly exposed their flaws.
"The fans have helped us a lot and we felt their warmth".
Unai Emery's men did well to stifle Real after the break, and Zidane went to his bench for inspiration, with Gareth Bale, Lucas Vazquez and Marco Asensio introduced in the final 22 minutes.
"We have to be happy with what we did against a very good side who can make things hard for you".
TN Dept of Health says "GET A FLU SHOT!"
Healthy Schools provides healthcare services to prevent widespread illnesses and keep children healthy and in school. In addition to H3N2, influenza B-type viruses are also on the rise - though they are not as severe as H3N2.
F1 sees distinguished manufacturers make a welcome return
It would also be nice to see a more competitive side to the sport, which usually sees one side dominate the entire season. The team is looking at Charles Leclerc from Ferrari, Marcus Ericsson or Antonio Giovinazzi who is a reserve for Ferrari.
Andy Murray looks to sport management role for future talent
He says that he still wishes to compete in professional tennis but he also wants to expand his prospects and share his knowledge. At the moment he is juggling many balls and he wants to remain focused on what he knows, but over time his company will develop.
Cyber Monday 2017 – The top sellers in electronics this year
Apple’s 9.7-inch Wi-Fi enabled iPad Pro was also still a great seller thanks to massive price discounts from retailers. Microsoft dropped their game changing console update, the Microsoft Xbox One X with a 1TB hard drive and 4K compatibility.