Police were called to the accident on Martin Luther King Parkway just south of Cottage Grove just after 10 p.m. Tuesday.
They say the driver of a white minivan was driving south on MLK, crossed the median into the northbound lane and hit a white Buick LeSabre head-on.
Police say the driver of the van ran from the scene toward the Sherman Hill neighborhood.
The driver of the Buick was taken by ambulance to Methodist Hospital. The extent of his injuries is not known.
The white minivan was reported stolen from Urbandale earlier in the evening.