A suspension cross member comprises a middle-portion attaching member which extends upwardly from a suspension cross member body, and a pipe-shaped attaching member which is supported at a support portion provided at an upper portion of the middle-portion attaching member. A side portion, in a vehicle width direction, a front portion and a rear portion, in a vehicle longitudinal direction, of a side face portion of the attaching member are supported at the support portion. A lower portion of the attaching member is supported at the support portion with a specified support rigidity, in the vehicle longitudinal direction, which is lower than that of the supporting of the side portion, the front portion or the rear portion of the side face portion of the attaching member.