The maroon car ploughed across the road into a neighbour's Peugeot before mounting a bank and crashing into a fence.
Reeves did not realise he had hit the car and drove home, trailing part of the fence from the bonnet of his Jaguar.
His solicitor said Reeves had 'lost track of the number of gin and tonics he had drunk while working'.
He said Reeves had only made his illfated half-mile journey in order to buy cigarettes and show off his new car.
Reeves was said to be 'extremely contrite' and realised he had been 'very, very stupid'.
Sentencing him, magistrate Lizzie Hughes said he would have been sent to prison but for his contrition, early guilty pleas and lack of previous offences.
As a result of his conviction, Reeves was dumped from his lucrative voice- over role for the insurance company Churchill.