A motor vehicle body includes, but is not limited to a front hood, a windshield rising from a rear edge of the front hood and a cross member substantially extending over the width of the windshield, of which a front edge supports a front lower edge of the windshield and a rear edge is supported on a structural element of the body. A top side of the cross member faces the passenger cell and a bottom side faces the engine compartment. Between the front edge and the rear edge the cross member comprises at least one first region, in which the top side is concavely curved in a section plane running in vehicle longitudinal direction and which yields to a load by intensifying the curvature along an apex line yielding towards the engine compartment and pivoting of two zones extending on both sides of the apex line towards each other.