Gloucestershire Constabulary says a 30-year-old man was arrested after officers spotted a car driving erratically in Gloucester, about 100 miles west of London, early Thursday.
A police official speaking on condition of anonymity in line with departmental policy confirmed the man was Doherty, who played a concert in Gloucester on Wednesday.
A 30-year-old woman was also detained. The pair are being questioned at a police station.
Doherty is the lead singer of Babyshambles and former boyfriend of model Kate Moss. He has a long history of drug arrests.
Copyright 2009 The Associated Press.