Police chief Harold Medlock said one of the men is in custody. The two others are still on the run and should be considered armed and dangerous, said the chief.
Medlock said his officers are looking for 31-year-old Kelly Eugene Elliott, who he described as a the trigger man and 36-year-old Anthony Solomon Porter.
A third man identified as 31-year-old Eric Lamont Phillips was arrested by Fayetteville police on Tuesday as he was leaving his home.
"I am very concerned for the public," Medlock said. "I am very concerned for my officers until these individuals are taken into custody."
Detectives said Errol Williams, 27, was kidnapped at a Kangaroo gas station in the 5600 block of Bragg Boulevard on Sunday, and forced to drive to the Shaw Heights area. That's where he was killed when he tried to escape.
Police said three men in a gray or silver newer model Kia Sportage were the kidnappers. Surveillance video from the Kangaroo convenience shows one of the suspects and the car.
Chief Medlock said detectives have recovered the Kia. He also said he believes Williams was simply in the wrong place at the wrong time.
"He simply stopped to ask directions and was the unfortunate victim of what occurred," Medlock said.
Police said the suspects went back to the same convenience store just after 3 p.m. Sunday and stole the store's video surveillance system. While they were in the store, they also robbed two more people.
The suspects then left the store in the same Kia used earlier in the day.
During their investigation, authorities identified Porter and Phillips in connection with several armed robberies in Fayetteville.
One of them involved a shooting on Aug. 18 in the 1800 block of Conover Drive. Authorities issued a warrant for Porter on assault with a deadly weapon inflicting serious injury charges in connection with the incident.
Porter also has active warrants in Raleigh for two counts of robbery with a dangerous weapon.
Phillips is currently being held at the Cumberland County Detention Center on a $75,000 secured bond on two counts of possession of a firearm by a convicted felon and possession with intent to sell/deliver cocaine.
Meanwhile, Elliott is facing first-degree murder, two counts of first-degree kidnapping and robbery with a dangerous weapon charges in connection with Williams' death.
Anyone with information on the whereabouts of the suspects is asked to call the Fayetteville Police Department at (910) 433-1690 or Crimestoppers at (910) 483-TIPS (8477).