Boynton and Jones fought after Boynton checked Chris Durno in a near knee-to-knee collision. After the fight, it appeared Boynton made a throat-slashing gesture and he was given a game misconduct.
Boynton will have to sit out the Blackhawks' regular-season opener in Colorado on Oct. 7. He is available to play in the remaining preseason games. The NHL said Friday that he will forfeit $2,688 of his salary, with the money given to a players' emergency assistance fund.
Boynton was unavailable for comment Friday. He didn't practice because of what the team described as an upper body injury.
Jesse Rogers covers the Blackhawks for ESPN 1000 and ESPNChicago.com. Information from The Associated Press was used in this report.