A body structure of a motor vehicle includes two substantially parallel longitudinal reinforcing side members, a body side superstructure connected to the side members, rising above the side members and defining, on either side of the vehicle, two wheel arch housing portions of the vehicle. The two wheel arch housing portions are connected by a floor portion of the vehicle, offset vertically relative to the side members and positioned above the side members. The structure also includes at least one rear shock absorber attachment cup at each wheel arch housing portion. The at least one rear shock absorber attachment cup is assembled to the side superstructure, and assembled to a side member by a raising part connecting the cup and only a portion of the side member, having a width, measured in a longitudinal direction of the vehicle, substantially equal to that of the cup.