The 33-year-old British fighter had hinted at retiring after sixth-round knockout of Dillian Whyte in front of 94,000 fans at Wembley to retain his title on Saturday.
Speaking to Piers Morgan's TalkTV, Fury said he was deciding to leave boxing behind to spend more time with his family.
"I am done. Every good dog has its day," he said.
"Like the great Roman leader said, there will always be someone else to fight. When is enough, enough?
"I am happy, I am healthy. I still have my brains, I can talk, I have a beautiful wife, I have six kids, umpteen belts.