The film is inspired by 1980s TV series of the same name and stars Gosling as Colt Seavers, a top Hollywood stuntman down on his luck after an on-set accident
"Stepping down from Top Gear," he said on Twitter. "Gave it my best shot but sometimes that's not enough. The team are beyond brilliant, I wish them all the best."
Evans and former "Friends" star Matt LeBlanc took over as co-hosts of the global hit show after Jeremy Clarkson was dropped by the BBC because he hit and verbally abused a producer last year.
The first show with the new line-up launched with 4.4 million viewers in May, but the revamped programme received lukewarm reviews from critics and viewers on social media, and viewing numbers dwindled to 1.9 million.
Clarkson and his former Top Gear co-hosts Richard Hammond and James May are making a new motoring-focused show for Amazon.com.