Super middleweight Froch, nicknamed The Cobra, twice won the WBC title, as well as taking the WBA and IBF belts, during a highly successful career.
The 38-year-old Nottingham fighter won 33 of his 35 fights, with 24 of those coming by knock-out.
He defeated arch-rival George Groves in a Wembley Stadium re-match which turned out to be his final fight in May of last year.
Froch said: “I’m incredibly proud of what I have achieved in boxing but now is the right moment to hang up my gloves.
“I have nothing left to prove and my legacy speaks for itself.
“I’ve got no regrets. I’m not retiring undefeated but in many ways that’s better because I’ve boxed everybody, I’ve faced every challenge.
“So many athletes, not just boxers, don’t get their defining moment.
“I’ve probably had seven or eight defining moments, but the biggest and best was on the platform of Wembley Stadium in front of 80,000 fans.
“It was amazing for me and to get that defining moment is enough.”
Froch, who will become a boxing pundit, said: “If I could fight again physically I would, but mentally I’m not sure.
“I think the desire has gone.”