It was the Bengals' first game since linebacker Odell Thurman was arrested and charged with drunken driving. Henry was a passenger in the vehicle, which was stopped by police early Monday morning. He reportedly was vomiting out the window. The NFL has suspended Thurman for the rest of the season.
Henry has been arrested four times since last December. He pleaded guilty Sept. 12 to a concealed weapon charge, but avoided jail. Two of the cases are pending.
After Henry's first arrest last December, Lewis made him inactive for the following game.
The Cincinnati Enquirer reported over the weekend that Henry may face further punishment.
Under the NFL's collective bargaining agreement, teams may suspend a player for up to four weeks and levy fines up to the equivalent of one week's salary.
Henry also could receive a league punishment as a result of his guilty plea to the concealed weapon charge last month in Florida.
Information from The Associated Press was used in this report.