Collins hit Justin Gage on an 11-yard scoring pass and White ran in from 1 yard. Keith Bulluck got Tennessee's final touchdown by blocking a punt by Kyle Larson and falling on the ball in the end zone.
Chris Johnson carried 19 times for 109 yards for the Titans (2-0).
Cincinnati quarterback Carson Palmer was 16-for-27, totaling 134 yards, with two interceptions.
Chris Perry rushed for 64 yards and a touchdown for the Bengals (0-2).