Madrid had looked to be facing an uphill battle after Mario Mandzukic cancelled out Cristiano Ronaldo's opening goal with an exquisite overhead kick.
For all the talk of tactics, the threat posed by the Italian champions and the romantic notion of Juve goalkeeper Gianluigi Buffon finally claiming a Champions League winner's medal, Ronaldo yet again found a way to hog the headlines.
Speaking after the game, Ronaldo said, "It has been an incredible end to the season by us".
"We had a great first half in which we had Real in trouble". "The only criticism I could make is that after the second goal we should have stayed in the game mentally to make sure we still had chances". Real won the match 4-1. "They showed their class and the attitude needed to play in this kind of game".
And Bale nearly got on the end of a Ronaldo cross but the fourth and final goal came from fellow sub Marco Asensio to complete the rout in the final minute.More news: Dennis Rodman returns to North Korea to 'open a door' to peace
"In the first half we played beautifully".
"If he (Zidane) can see something that we can do on the pitch, he tells us, and we are trying to do it in our best way", Modric said.
"We managed to defend for 15 minutes". (Miralem) Pjanic's shot was deflected wide, Casemiro's shot was deflected into the goal.
Mourinho is already attempting to rebuild his squad, but Atletico Madrid's Antoine Griezmann will not be a part of his new team, with the French forward choosing to commit his short-term future to Real's city rivals in the midst of the club's transfer ban.More news: Grand Theft Auto 5 Mod Tool OpenIV Shut Down by Lawsuit
For Juventus, it remains a paltry two wins from nine finals.
Three summers ago Rodriguez was the most wanted players in world football after a dazzling display at the World Cup.
"I want to thank all of you", Zidane told fans as chants of his name rang around the Bernabeu.
Juve had been bidding to complete a Treble of Serie A, Coppa Italia and Champions League successes and Allegri said they could still reflect on their season with pride.
"I prepared myself for this, you win the biggest prizes because of what you do at the end of the season".More news: Russia 2 New Zealand 0: Hosts make confident start to Confederations Cup
"It's been an extraordinary season. It's another record for us and the players deserve it and so do I because I scored twice and I'm the top scorer in the Champions League".