Kane hit Anaheim Ducks defenceman Clayton Stoner into the boards from behind at 19:49 of the second period of Sunday's game in Winnipeg.
Kane was assessed a major penalty for checking from behind and a game misconduct.
He will forfeit US$56,451.62 in salary.
Winnipeg will be without Kane for games Tuesday in Dallas and Thursday in Colorado.
He is eligible to return for another home date with the Ducks on Saturday.