Police in Denver pulled Marshall over for erratic driving early Monday, a few hours after the Broncos beat the Pittsburgh Steelers, 31-28, The Rocky Mountain News reported.
Marshall was taken to a detox center for a few hours and then given a ticket and released, Detective John White said.
A spokesman for the Broncos refused to comment, saying managers were getting information on what happened.
Marshall was arrested in March after his girlfriend said that he tried to keep her from leaving his home by blocking her taxi with his car. A false imprisonment charge was dropped after he agreed to anger management classes.
Marshall made six interceptions for 77 yards in Sunday's game, leading the Broncos receivers.