"Coke is expected to be arraigned in Manhattan federal court tomorrow (Friday)," the US Justice Department said in a statement.
On Thursday he signed documents waiving his right to an extradition trial at a 15-minute hearing, Jamaica's Ministry of National Security said in a statement.
"Everyone, the whole country, has been adversely affected by the process that has surrounded my extradition and I hope that my action today will go some way towards healing all who have suffered and will be of benefit to the community of Tivoli Gardens," Coke said in a statement.
Coke’s bid to evade capture last month led to the deaths of 73 civilians in a police raid on his west Kingston slum stronghold, Tivoli Gardens.
Despite a state of emergency and house-to-house searches, Coke avoided capture until Tuesday, amid rumours he was either being sheltered on the island or had fled.
He had shaved his beard and was wearing a wig when he was picked up by police.
"I leave Jamaica and my family in particular [his mother] Patsy with a heavy heart but fully confident that in due course I will be vindicated and returned to them," he said before his extradition.
If convicted, Coke faces life in a US prison and millions of dollars in fines.