The 26-year-old singer was arrested in east London on Thursday by officers who thought he looked "disheveled and suspicious," prosecutors said. He pleaded guilty to heroin possession at Thames Magistrates' Court and was ordered jailed until a hearing on Feb. 8.
Doherty's band, Babyshambles, had been due to perform in Glasgow on Friday, Bristol on Saturday and London on Sunday. Refusing bail, District Judge Stephen Dawson said he was "sorry if my order will affect your fans and people who go to your concerts."
It is the latest in a string of drug busts for the troubled singer.
Doherty appeared at the same court a week ago and admitted possessing heroin, crack cocaine, morphine and marijuana. He was freed on bail.
He also is on bail after pleading guilty to possession of cocaine and heroin following a Nov. 30 arrest.
The maximum sentence for possession of "Class A" drugs such as heroin and cocaine is seven years in prison.
Moss, 31, lost modeling contracts with H&M, Burberry and Chanel after the Daily Mirror tabloid published pictures in September of her allegedly using cocaine in a west London music studio where Doherty, then her boyfriend, was recording.
She later went into a rehabilitation clinic in Arizona and has since resumed her modeling caree