Britt said after Tennessee's 10-6 win over the New Orleans Saints on Thursday night that he would "just take it on the chin" and won't appeal the decision.
The news of the suspension was first reported by the Tennessean newspaper.
A first-round draft pick in 2009 out of Rutgers, Britt was arrested July 20 for driving under the influence at the Fort Campbell Army post on the Tennessee-Kentucky border. Britt met with NFL officials in New York on Aug. 6, his second visit to the league office in a year.
He was activated from the physically unable to perform list Tuesday after recovering from a left knee injury.
Britt, who has 101 catches for 1,765 yards and 15 TDs in three seasons, will miss the Titans' opener against New England on Sept. 9.