Ronaldo tested Jon Oblak from distance in the 20th minute while Varane came close to open the scoring in the 28th minute.
The two capital clubs will now switch their attentions back to the Champions League and the Europa League, respectively, with games against Juventus (for Real) and Sporting CP (for Atleti) this week.
The Frenchman also admitted that the training he did in the summer prepared him "really well", physically, for the season ahead, and he is now reaping the rewards at the business end of the season and with the World Cup in Russian Federation looming.
Atletico Madrid's Ghanaian midfielder Thomas Partey has explained how much it means for him to play in the Madrid derby as an African. Griezmann slipped in Lucas and then continued his run so he was perfectly placed to slide home the rebound after Keylor Navas had parried.
Palestinians bury nine killed in border clashes with Israel
In the West Bank political capital of Ramallah, around 50 Palestinian journalists held a vigil for Murtaja. No Israelis were injured on either day and the latest deaths have sparked fresh calls for an investigation.
Ronaldo followed up last week's brilliant bicycle kick against Juventus with a poacher's finish at the Santiago Bernabeu but Griezmann's strike keeps Atletico in pole position to finish second in La Liga.
The Atletico star is clearly a fan of the video game Fortnite and has already given us a few celebrations inspired by the game.
The result in the capital edged Barcelona even closer to the title, with Ernesto Valverde's men 11 points clear of Atleti at the summit with seven games remaining.
An early league win may also help their Champions League hopes, as they will be able to rest players for the most crucial games. Diego Simeone's side won the first leg 2-0 and face a team that suspended 19 of their players after a spat with most of the first team, per the Guardian. "The most important thing is not so much the rival but the chance to make sure we finish second in the table", he added.