Cristiano Ronaldo netted Real Madrid's first goal, watching his effort deflect slightly off Leonardo Bonucci.
Mario Mandzukic then produced a moment of brilliance to level things up with an outrageous overhead kick.
Casemiro was unlikely scorer of Real's second; his long-range shot took a huge deflection off Sami Khedira.
Ronaldo pounced on Juve's sleeping defence to put Real Madrid further ahead with 25 minutes left of game.
Things went from bad to worse for Juve as Juan Cuadrado was sent off, but the decision was extremely harsh.
Marco Asensio came off the bench to score Real Madrid's fourth after Marcelo's brilliant assist at the death.
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