According to James Sheen, the ghost-writer of his autobiography, he passed away at his partner's home in Dorset on Monday night.
Floyd, originally from Oxfordshire, became famous in the 1980s after fronting numerous cookery shows, including Floyd On Fish and Floyd On France. He had also published a series of cookbooks.
In 2004, he was charged with drink-driving after being involved in a car crash while under the influence of alcohol and failing a roadside breath test.
The celebrity chef was hospitalised last year following a bout of exhaustion. Earlier, in 2006, he suspected he had lung cancer but was eventually given the all-clear.