A VW van and a stolen Citroen C3 car collided at the junction of Skircoat Road and Prescott Street around 8.30 am today (Sun).
Police said the car was stolen during a burglary in Huddersfield on August 4.
The male driver of the vehicle made off on foot.
He was travelling from Halifax town centre along Portland Place and is believed to have jumped through traffic lights and collided with the van.
Two occupants in the van suffered whiplash injuries and were treated at the scene by paramedics.
Halifax firefighters were called to disconnect a battery and make the area safe.