The Titans returned to Nashville after midnight following the win in Wisconsin.
Williamson County Sheriff's records show Downing's bond was set at $2,500 for charges of DUI and speeding implemented by the Tennessee Highway Patrol.
He was processed at 4:39 a.m. and released at 6:46 a.m., according to the county's jail records.
The 42-year-old Downing called plays in the Titans' most productive performance of the season at Lambeau Field with 408 total yards in a 27-17 win that included a touchdown pass from running back Derrick Henry.
The Titans opened the season 0-2, with a 21-20 loss to the New York Giants at home and then a lopsided 41-7 defeat at Buffalo.