The Patriots trailed by 25 points in the third quarter but recovered to level at 28-28 and force the extra period – the first in Super Bowl history, the BBC reports.
Quarterback Tom Brady led the recovery, finishing with a record 466 yards en route to being named the Super Bowl’s Most Valuable Player for a fourth time.
The turnaround was completed when James White scored on a two-yard run – taking his personal haul for the game to 20 points.
The previous biggest deficit overcome by the eventual Super Bowl champions was 10 points, a record emphatically shattered by the Patriots on an incredible night at Houston’s NRG Stadium, which also featured a spectacular half-time show by Lady Gaga.
The singer opened her set with Woody Guthrie’s civil rights anthem This Land Is Your Land, “a gentle but pointed rebuke to the Trump administration”, BBC Music reporter Mark Savage says.
Notable statistics from the game included:
Brady, 39, admitted afterwards the outcome could have been very different had any part of the Patriots team not done its job.
A key moment came with the Patriots trailing 28-20 with 2:28 remaining in the final quarter when Julian Edelman made a miraculous catch for a first down, somehow grabbing the ball under pressure from three opponents after it was tipped into the air by Falcons cornerback Robert Alford.
“I couldn’t believe the Edelman catch, it was one of the greatest catches. I don’t think he knows how he caught it. We’ve been on the end of a few of those, it was spectacular,” Brady said.
“It’s going to be a great celebration tonight. Thanks to everyone back in Boston, we love you, we’re bringing this sucker home!”
He added: “That was exactly the way we didn’t plan it. It was a hell of a football game.
“This is an incredible team and I’m just happy to be a part of it. We overcame a lot of different things and it’s all worth it.”
“To be 28-3 down, it was a lot of mental toughness from our team and we’re all going to remember this for the rest of our life.”