Griffin's suspension means he will miss the remainder of the regular season. He will be eligible to return to the Redskins' active roster on Dec. 31, following the team's regular-season finale against the Dallas Cowboys.
Losing Griffin, the club's starting nickelback, is a blow to the Redskins (6-6), who trail the first-place New York Giants by one game in the NFC East. Washington ranks 31st in the league in pass defense, ahead of only Tampa Bay.
Griffin, who registered five tackles in Monday night's 17-16 win over the Giants, signed a one-year deal for $1.25 million in March after six seasons with the Minnesota Vikings.
Information from The Associated Press was used in this report.