Zinedine Zidane's side thrashed Juventus after a stunning second-half performance to become the first club in the Champions League era to lift the trophy in successive seasons.
Ronaldo netted the first and third goals, reaching 600 career goals in the process, as Real were crowned European champions for the 12th time.
Speaking after the game, Ronaldo said, "It has been an incredible end to the season by us.”
"We are the first team to win it two years in a row and I scored two goals. 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.
"I prepared myself for this, you win the biggest prizes because of what you do at the end of the season."
The Portuguese star credited the win to coach Zidane, who he said inspired them to victory with a rousing half-time team talk.
"Zidane gave us a very positive half-time team talk and told us he really believed in us," he added.
The French coach however, who has now lead Madrid to back-to-back trophies, played down talk that he is the best in the world.
"It has been a great year," Zidane said after the final whistle. "We have to congratulate all the players and this great club.
"With this squad of players and their hard work, we know we can win these things."
"I am happy," he said. "I do not show it, but inside I am satisfied."
Asked if he was the best coach in the world, Zidane replied modestly, "No, no, I am not that."
But with two Champions Leagues, one La Liga crown, the UEFA Super Cup and the Club World Cup all in the last 512 days, many would beg to differ.