The Reverend Al Miller has been arrested and charged with perverting the course of justice and harbouring a fugitive.
Miller was questioned extensively today and yesterday at the Organised Crime Investigation Division (OCID), after he turned in himself Wednesday.
The police had asked Miller to turn himself in on Tuesday, hours after Coke was taken away from his car during a dragnet along Mandela Highway.
A police statement released shortly after Coke's arrest described Miller as "a major person of interest in a matter currently being investigated".
Miller explained that he was taking Coke to the United States Embassy in Liguanea, St Andrew, where the accused drug kingpin wanted to turn himself in.
Coke was indicted on drug and gun charges in the United States last year.
Police Commissioner Owen Ellington hinted on Tuesday that Miller could be in hot water for trying to circumvent local authorities.
Ellington said his office was also investigating why Miller was not detained at the scene.