Both of McCown's TD passes came in the second quarter when he hit Jeremy Stevens from 17 yards and Sammie Stroughter from 9.
Josh Freeman scored a TD for Tampa Bay on a 28-yard run in the third quarter.
Jacksonville scored touchdowns on a 1-yard run by Greg Jones in the second quarter and a 20-yard pass from Todd Bauman to Tyler Lorenzen in the fourth.
Tampa Bay's Mike Nugent hit a 46-yard field goal in the first quarter, and Jacksonville's Josh Scobee hit a 29-yarder in the third.
Byron Leftwich completed 6-of-12 for 63 yards for Tampa Bay.
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