Real Madrid will take on Getafe in their first La Liga fixture on Sunday. Benzema restored parity in the 27th minute.
Diego Simeone has become Atletico Madrid's most successful coach after winning his seventh major title.
Atletico, who finished above Real last season in second spot, begin their campaign on Monday away to Valencia, who finished fourth last season to return to the Champions League.
Diego Costa opened scoring for Los Rojiblancos barely one minute into the game after firing home a powerful shot from the right side of the goal post.
Atletico had lost to Real in the 2014 and 2016 Champions League finals, and they were determined it wasn't going to happen again.
"Losing such an important and decisive player is negative, of course, but it will not stop us from continuing to win things".
World leaders pay tribute to Atal Bihari Vajpayee
Vajpayee , 93, passed away at the All India Institute of Medical Sciences here on Thursday evening after a prolonged illness. Lauding his role regarding Pak-India bilateral relations, Imran Khan stated that his contribution will never be forgotten.
Turkish lira weakens as U.S. warns of new sanctions over detained pastor
The row has caused Turkish lira to crash to an all-time low against the USA dollar, prompting Turkish officials to take emergency measures.
Vajpayee's condition worsens, put on life-support system: AIIMS..
Notably, Vajpayee breathed his last while undergoing treatment at the All India Institute of Medical Sciences (AIIMS), New Delhi . "His condition is critical and he is on life support system", AIIMS said in the last statement issued late on Wednesday.
Atletico then won the Cup for the third time in nine seasons, after Saul and Koke scored in the 98th and 104th minute respectively. Traditionally, the UEFA Super Cup is an excellent curtain-raiser for the brand new football season across Europe.
It didn't take long after the match for Antoine Griezmann to start rubbing it in, as the World Cup-winning France worldwide shared an image (originally published by Bleacher Report) on his Instagram story showing Real captain Sergio Ramos anointing him the new king of Madrid/Europe.
"I stayed because I could see they were building a great project here, I had confidence in this club and in Simeone, and today we saw that I was not wrong", Griezmann told reporters after the Super Cup triumph in Tallinn.
Which makes it a ideal game to use as a testing ground.
UEFA is looking to make its ticket sales process for matches more simple and safe - thanks to a new system aimed at providing secure ticket distribution, and which prevents the replication and duplication of tickets.
UEFA's system uses Blockchain to guarantee the validity of mobile tickets, which are downloaded onto a user's mobile device via an iOS or Android application.