The crash happened at 4.20pm yesterday (Thursday), at the junction of Boothferry Road and First Lane in Hessle.
Five people were injured in the collision.
A 74-year-old man sustained life-threatening injuries following the crash, which involved a black Fiat Punto, A sliver coloured Subaru Sti and a blue Ford S-Max.
The man was a rear seat passengeer in the Fiat and is in a critical condition in hospital.
Police said a woman, 50, who was in the front seat of the same car, is also in a serious condition.