His BMW was seen crossing white lines in the road as he left work at the New Angel restaurant in Dartmouth.
He was banned from driving for 14 months and fined £1,330 after admitting drink-driving and resisting arrest.
Officer lifted up
Newton Abbot magistrates heard that the former I'm a Celebrity. star left the restaurant he manages in the early hours of 30 October.
After pulling into a car park near his house two police officers, who had been following him, asked him for a breath test.
He twice refused, saying he was going home, and when one of the officers tried to take hold of his wrist, the court was told he pulled away.
Magistrates were told that when the other officer tried to grab hold of his arm Burton Race swung his arms between the officer's legs and lifted him upwards.
The struggle continued until Burton Race was forced to the ground and handcuffed.
A breath test gave a reading of 57 microgrammes in 100 millilitres of breath, the limit is 35.
He was fined £800 for drink-driving, banned from driving for 14 months and fined £530 for resisting arrest.
He was also ordered to pay £85 costs and a £15 victim surcharge.
Burton Race, who was recently divorced, asked to pay the fine at £125 a month telling magistrates: "I'd really like to deal with on a monthly basis because of my financial circumstances and because of the divorce. I can't really take it in one hit."
Mark Drew, defending, said the chef had drunk moderately during the day and lost track of his consumption.
He said: "He is an intelligent, articulate middle-aged man in his 50s, of good character, who has had no dealings with the police in his life and he could not understand why it was considered necessary to cuff him."
As he left court Burton Race, who became a household name with TV series such as French Leave and Return of the Chef, said: "I have absolutely nothing to say. I made a mistake. I got fined."