Tom Brady surpassed Drew Brees as the all-time NFL leader in touchdown passes on Sunday as the Tampa Bay Buccaneers routed the Las Vegas Raiders 45-20.

The six-time Super Bowl champion Brady threw four touchdown passes and ran for another as he completed 33 of 45 passes for 369 yards and no interceptions.

Brady now has thrown 559 touchdown passes in his career to eclipse Brees, who has 558. 

Brady reached the mark with a one-yard pass to rookie Tyler Johnson with just over three minutes remaining to seal the victory.

"We're 5-2, in a decent place, not quite at the halfway point in the year," Brady said. 

"We've got a lot of football left. We're going to need everybody's best. And we're going to try to meet the challenge every week."

Chris Godwin caught nine passes for 88 yards, including a four-yard touchdown pass in the fourth to make it 31-20, and Scotty Miller caught six passes for a career-high 109 yards and a touchdown for the Buccaneers. Rob Gronkowski caught five passes for 62 yards and a touchdown.

Leonard Fournette returned from a foot injury to run for a game-high 50 yards on 11 carries in the win.

Quarterback Derek Carr completed 24-of-36 passes for 284 yards and two touchdowns. Carr was making his 100th career start.

In Nashville, Ben Roethlisberger threw for two touchdown passes to Diontae Johnson as the Pittsburgh Steelers won the battle of the unbeaten teams on Sunday with a 27-24 win over the Tennessee Titans.