Froch, 36, retained his WBA and IBF titles with a controversial stoppage against fellow Englishman Groves in November.
Groves floored Froch in the opening round of their super-middleweight title fight and was ahead on the judges' cards when referee Howard Foster stopped the fight in the ninth of 12 rounds with Groves on the end of a Froch attack.
It was widely regarded as a premature call and the IBF subsequently ordered a rematch.
“I'm pleased to finally get my next fight confirmed,” said Froch.
“We had a number of options but ultimately 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.
“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 if a clinical finish and a great comeback victory."
Such is the anticipation of the rematch, it could beat the box-office record for a British fight.
The fight will almost certainly take place outdoors, possibly at Nottingham Forest's City Ground, or, depending on the demand for tickets, Manchester United's Old Trafford or Arsenal's Emirates Stadium.
“I feel blessed that I am getting this fantastic opportunity to participate in what could be Britain's biggest ever boxing match,” said Groves.
“I am still shocked that Froch has agreed to take the fight. I respect him for his bravery."