But Londoner Groves, 25, complained the fight was ended too soon.
Mike CostelloBBC boxing commentator
"After all the wrangling in the media and behind the scenes, money and egos have combined to bring them together again for the most eagerly awaited rematch in British boxing since Nigel Benn met Chris Eubank for the second time two decades ago.
"Froch's win against Groves last November ended controversially and many say prematurely when referee Howard Foster intervened to stop the fight in the ninth round.
"Groves was ahead on all three judges' scorecards, having floored the champion in the first round, and his appeal to the IBF last month led to the governing body ordering the rematch. Froch was left with a choice: Give up the title or give Groves a second chance."
"I listened to the public and gave them what they wanted. I expect this to be one of the biggest fights the country has ever seen," Froch said.
"I am still shocked that Froch has agreed to take the fight. I respect him for his bravery.
"Britain will have its own
to talk about for years to come."
The bout is the biggest rematch in British boxing since Chris Eubank fought Nigel Benn for a second time at Old Trafford in 1993.
Froch-Groves II is expected to break the box-office record for a British fight, with Old Trafford in Manchester and Arsenal's Emirates Stadium being suggested as possible venues.
Promoter Eddie Hearn said he wanted upwards of 80,000 people to be at the fight, adding: "I believe this is the biggest fight in British boxing history. I want to see how big we can make it."
The record attendance for a post-World War II boxing show was for Ricky Hatton's fight against Luan Lazcano, which drew 55,000 fans at the City of Manchester Stadium in 2008.
Froch continued: "It's been a difficult period for me following the first fight. I've had to listen to his endless whining and appeals when ultimately the referee did him perhaps the biggest favour possible and saved him from a devastating knockout, whilst denying me the right of a clinical finish and a great comeback victory.
"I was poor in the first fight. I didn't give him the respect as a fighter. I can't wait to get back in there and do a proper job."
However Groves said he was within his rights to appeal. He told Sky Sports: "All I want is a rematch."
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