The Frenchman endured a disappointing season, failing to nail down a regular starting spot but says he is eager to stay and fight for trophies with the capital club.
"Of course I'm staying. I'm happy at Real Madrid and I'm not going to leave," he told Marca.
"I'm eager to win titles, but I think we all need to disconnect a bit."Madrid ended Jose Mourinho's final term at the Bernabeu without any trophies and Benzema went on to say that he was also disappointed with his own contribution to the cause, but urged fans to keep backing the teem.
"It wasn't like the previous one. I finished last season with 30 goals and only managed 20 this time," he continued.
"Keep supporting us as always and next season we'll give our all and try to win domestic titles and of course the Champions League."
Madrid finished second to Barcelona in La Liga, were eliminated in the last four of the Champions League by Borussia Dortmund and lost in the Copa del Rey final to Atletico.