It was the away side that took the lead after 11 minutes when Diego Costa stroked his effort into the bottom corner from inside the box, with that strike all that separated the two sides at the interval.
Both sides had opportunities in the second period, but Atletico held on to secure a vital three points and continue their 100% start to the season.
Read how it all unfolded in Sports Mole's minute-by-minute live commentary of the action below.
REAL MADRID XI: Lopez; Arbeloa, Ramos, Pepe, Coentrao; Illarramendi, Khedira, Isco; Di Maria, Ronaldo, Benzema
ATLETICO MADRID XI: Courtois; Juanfran, Miranda, Godin, Luis; Koke, Gabi, Tiago; Turan, Villa, Costa