The incident occurred at around 8.30pm on Thursday, 1 January, on Manchesterâ€™s Piccadilly Station approach road.
PC Jonathan Price, who is leading the investigation, said: â€œThe driver of a car suffered an epileptic seizure and lost control of his vehicle, which mounted the pavement. When it came to a stop outside the station, the confused driver was set upon by a pedestrian who punched and kicked him in the head.
â€œAs more pedestrians gathered around the car and the assault continued, the driver had his black Apple iPhone 4 stolen.
â€œThe driver was taken to hospital where he had a second seizure, believed to have been brought on by the injuries sustained to his head during the assault.â€
Officers believe the men in the images could have vital information about what happened and urge them or anyone who recognises them to come forward to help police with their enquiries.
Anyone with information is asked to contact British Transport Police on 0800 40 50 40, or text 61016, quoting reference PSUB/B7 of 20/01/15. Information can also be passed anonymously to independent charity Crimestoppers on 0800 555 111.