The 'Freedom' singer was arrested in July after smashing his Range Rover into a shop in Hampstead, north London.
Michael will serve four weeks in prison, BBC News reports. The rest of his eight-week sentence will be spent under the supervision of the probation service.
He was also banned from driving for five years and given a £1,250 fine at the hearing at Highbury Corner Magistrates Court in London.
Last month, Michael, 47, pleaded guilty at the same court to possessing marijuana and driving under the influence of drugs and was given a six-month interim driving ban.
Michael claimed to have checked himself into a rehabilitation clinic after the incident and admitted that his "pride" has prevented him from seeking help earlier.
