Brashear was suspended one game for initiating contact with Rangers forward Colton Orr during the pre-game warm-up, the NHL said Monday.
The 37-year-old left wing was suspended for five additional games for a blind-side hit on New York forward Blair Betts midway through the first period of the Capitals' 5-3 victory.
"Brashear delivered a shoulder hit to an unsuspecting player," NHL senior executive vice president of hockey operations Colin Campbell said in a statement.
"It is also my opinion that the hit was delivered late and targeted the head of his opponent, causing significant injury."
Brashear's suspension will begin Tuesday when the Capitals meet the Rangers in Game Seven of the series. The suspension will extend through the Capitals' next five playoff games, the 2009-10 regular season, or both, as circumstances warrant, Campbell said.
Betts was expected to miss Tuesday's deciding game with a head injury due to Brashear's hit, according to New York media.
