The NHL announced the punishment Wednesday. Byers will forfeit $2,590 in salary to the Players' Emergency Assistance Fund.
Rangers coach John Tortorella was fined $10,000 because one of his players was deemed the instigator of the altercation. His fine goes to the NHL Foundation.
Byers was involved in the incident. The 23-year-old will sit out Thursday night's game in Edmonton and be eligible to return Saturday in Calgary.