The 25-year-old joined the Gunners from Feyenoord in 2004 and has impressed at the Emirates Stadium.
“I have been at the club for five years now and there really is a great feeling here at Arsenal,” he told the club’s official website.
“We have a top-class manager, a squad full of superb young players, a world-class stadium and brilliant supporters.
“Arsenal have a very bright future and I want to be part of it.”
“It’s fantastic news that Robin van Persie has committed his long-term future to Arsenal Football Club, we’re all delighted,” said manager Arsene Wenger.
“Robin is a hugely gifted player and has the talent and goalscoring ability to win matches at the very top level.
“We have already seen many times what Robin is capable of on a football pitch, but at only 25, there is still much more to come from him. Robin has the potential to become a true Arsenal great.”