PITTSBURGH — Mike Glennon’s 5-yard touchdown pass to Vincent Jackson with seven seconds left rallied the Tampa Bay Buccaneers past the Pittsburgh Steelers 27-24 on Sunday for their first win of the season.

The Buccaneers’ hopes for a win seem to end with 1:46 left when Glennon overthrew Jackson, the 6-foot-5 wide receiver, on fourth down with 1:49 left.

However, the Steelers (2-2) were unable to run out the clock and Buccaneers (1-3) drove 46 yards in five plays for the winning score after being thumped 56-14 by the Atlanta Falcons in their previous game.

Making his first start of the season in place of Josh McCown (right thumb), Glennon completed 21 of 42 passes for 302 yards and two touchdowns, with one interception.

Steelers quarterback Ben Roethlisberger was 29 of 40 for 314 yards and three touchdowns. He became the 12th quarterback in NFL history to pass for 35,000 career yards with three different teams.

Wide receiver Antonio Brown caught two of Roethlisberger’s touchdown pass and finished with seven receptions for 131 yards. Brown set an NFL record by notching his 20th consecutive game with at least five catches and 50 yards, breaking the mark set by Laveranues Coles from 2002-03 with Washington and the New York Jets.

Both teams traded 80-yard touchdowns drives to start the second half. Buccaneers running back Doug Martin scored on a 3-yard run to tie it at 17-17 then the Steelers went ahead on a Roethlisberger’s 7-yard touchdown pass to tight end Heath Miller.

The Steelers scored 17 straight points to overcome an early 10-point deficit and take a 17-10 halftime lead.

After kicked Shaun Suisham booted a 25-yard field goal, Roethlisberger and Brown connected on touchdown passes of 11 and 27 yards in the next two possessions. The first TD came with 15 second left in the first quarter and second came with 4:58 left in the second period and capped a 93-yard drive that covered 13 yards.

The Buccaneers grabbed the moment early when defensive end Michael Johnson sacked Roethlisberger and end Jacquies Smith recovered at the Pittsburgh 9. That set up Glennon’s 7-yard touchdown pass to wide receiver Mike Evans.

The Buccaneers increased the lead to 10-0 on Patrick Murray’s 50-yard field goal with 10:01 left in the first quarter.

NOTES: Buccaneers S Dashon Goldson (ankle) and WR Mike Evans (ankle) left the game with injuries and did not return. QB Josh McCown (right thumb), DE Larry English (shoulder) and LB Mason Foster (hamstring) were inactive. … Steelers G Ramon Foster (ankle) sat out a second straight game despite being listed as probable on the injury report Thursday. … Pittsburgh QB Ben Roethlisberger became the 12th quarterback to throw for 35,000 yards in his career with the same team. … Both teams play on the road next Sunday with Pittsburgh visiting Jacksonville and Tampa Bay playing at New Orleans.