Turan, who netted in the 3-1 victory over Zenit St Petersburg in the Champions League Group G game on Wednesday, expressed his delight at extending his stay in the Spanish capital, describing the club as a "big family".
"I feel very happy to have extended my contract with Atletico," he told the club's official website.
"After two years with the Atletico shirt, I feel like part of the family, which is this club. I am happy the club want me to continue, it is thanks to my colleagues for all that we are achieving together.
"Not only do I have to thank my team-mates, but the directors and all those who work at the club, because all of us are in this big family."
