Ronaldo followed his outrageous bicycle kick strike against Juventus in the Champions League on Tuesday by breaking the deadlock in an entertaining contest in the 53rd minute. He sent a cross from Gareth Bale crashing past Jan Oblak on the volley, hitting the target for the 20th time in ten games.
Atletico quickly struck back down the other end, with Griezmann tapping into an empty net in the 57th minute to complete an excellent team move also involving Thomas Partey and Vitolo.
Real winger Marco Asensio and left back Marcelo both hit the crossbar in the first half while the home side had penalty appeals waved away either side of the interval and Oblak was forced to save goal-bound shots from Dani Carvajal and Ronaldo.
Real keeper Keylor Navas beat away a low strike from Diego Costa in the first half and then kept out a powerful effort from Koke in the second while Atletico midfielder Saul Niguez struck one just wide as the visitors grew in confidence.
Madrid captain Sergio Ramos almost grabbed an injury-time winner from a free kick but Slovenian goalkeeper Oblak again came to Atletico's rescue by tipping the curling shot over the bar.