Tampa Bay will host this season's Super Bowl on 1 February and the team is back in contention for the title after two poor season.
The team is owned by Malcolm Glazer, who also has a controlling interest in Manchester United.
"We look forward to being part of the NFL's global outreach and playing our great game in front of Buccaneers fans overseas," said Glazer's son Joel, Buccaneers executive vice-president and chairman of the Manchester United board.
The Buccaneers, who regularly attract more than 65,000 fans to Raymond James Stadium, will give up a home game and act as hosts for the Wembley clash.
Officials from the Scottish Rugby Union, who met their NFL counterparts in October to discuss staging a game at Murrayfield, declined to comment on the announcement.
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