The incident happened on Andersonstown Road during the early hours of this morning, Tuesday 06 June.
It was reported that shortly after 2.30am a man and woman, both aged in their 20’s, were walking along the Andersonstown Road close to the Kennedy Centre when they were struck by a black coloured BMW that failed to stop.
They were both taken to hospital for treatment for a number of injuries that are not believed to be life threatening.
A black coloured BMW, believed to have been involved in the incident, was abandoned a short time later in Gransha Park after it collided with two parked cars.
Four males, aged 27, 28, 28 and 30, were arrested on suspicion of attempted murder and remain in the PACE custody suite at Musgrave PSNI station for questioning.
Detective Inspector Richard Thornton said: “I would appeal for anyone who witnessed the incident close to the Kennedy Centre or who witnessed the black BMW car being abandoned in Gransha Park to contact Detectives in Musgrave Police Station on 101 quoting reference 81 of 06/06/17.
“Information can also be passed anonymously via the independent charity Crimestoppers on 0800 555 111.”