A motor vehicle body with a front hood, a front window rising from a rear edge of the front hood, and an elongated cross member is provided. The elongated cross member includes a middle region curved channel-like in section in a vehicle longitudinal direction. A contact zone of the elongated cross member supports a lower edge of the front window and a longitudinal end supports the elongated cross member. A transition region is between the longitudinal end and the middle region and, in section in the vehicle longitudinal direction, is less curved than the middle region.