It happened around 6 p.m. Thursday at Southgate and Boulden boulevards.
Delaware State Police said three men in their 20s were inside the car when the suspect's vehicle pulled up beside them.
All three men were hit by gunfire.
The victims drove off, but crashed a short distance up the road.
Police said they were taken to an area hospital for gunshot wounds.
The victims' conditions have not been released.