Evander Kane did NOT gamble on hockey games ... so says the NHL, which announced Wednesday it has cleared the star after a probe into the allegations turned up "no evidence to support" the claims.
The league launched the investigation several weeks ago ... after Evander's estranged wife, Anna Kane, said the 30-year-old San Jose Sharks player had bet on games in his career.
In her claims, she accused Evander of "throwing games" in order to win cash.
The league, though, said it could not prove any of those allegations after a lengthy dive into the claims.