It happened in the Claremont Street area shortly before midnight on Sunday, September 2.
Detective Sergeant Duffield said: “We received a report around 11:50pm a vehicle driven by a fast food delivery worker had been hijacked in the Claremont Street area just after 11:45pm.
“It was reported the driver had pulled up outside an address when two men approached his vehicle and spoke briefly with him before threatening him.
“One of the males pulled the driver from the silver-coloured Volkswagen Bora while the other male grabbed the car keys.
“The driver managed to flee to safety and call police while the car sped off in the direction of the Lisburn Road.
“The victim was not injured, however, he was left badly shaken by the ordeal.
“One of the suspects is described as being of ‘beefy’ build and had facial stubble, and wore what was described as a blue-coloured football top.
“The second suspect is described as being of slim build, was unshaven and wore a grey-coloured top.
“At 11:54pm, we received a report a vehicle matching the description of the Volkswagen Bora that was hijacked had collided with two parked cars on Donegall Road, in the Shaftesbury Square end.
“There were no reports of injuries, however, both vehicles sustained frontal damage.
“This morning, Monday 3 September, just after 12am, we received a report a silver-coloured saloon-type vehicle with front end damage was being driven dangerously in the Ballygomartin Road area, Ballymagarry.
“Police conducted a check of the area, however, they were unable to locate the vehicle.
“Our enquiries are ongoing and I want to make a number of appeals today.
“Were you in the Claremont Street area last night, between 11:45pm and 11:50pm? Did you see you see what happened; did you see two males acting suspiciously in the area?
“Were you in the Donegall Road area last night around the time the collision was reported?
“Were you in the Ballygomartin area this morning just after midnight? Did you see a silver-coloured vehicle being driven dangerously?
“The silver-coloured Volkswagen Bora that was hijacked remains outstanding, and I would appeal to anyone who knows where this vehicle is to contact us.
“If you have information you believe could assist our investigation, call detectives at Musgrave on the non emergency number 101, quoting reference 1661 of 02/09/18.”
Alternatively, information can also be provided to the independent charity Crimestoppers on 0800 555 111 which is 100% anonymous and gives people the power to speak up and stop crime.