A structure of a vehicle comprising: a respective side member arranged at each respective end portion, in a width direction of the vehicle, of a front portion or a rear portion of the vehicle, each respective side member being extended with a length direction coinciding with a longitudinal direction of the vehicle; respective crush boxes, each respective crush box assuming a cylindrical shape, one end of each respective crush box being fixed to an outer-end portion of a respective side member in the longitudinal direction of the vehicle, each respective crush box being arranged with a length direction coinciding with the longitudinal direction of the vehicle, and each crush box being configured to plastically deform through compression in the longitudinal direction of the vehicle due to inputting of a collision load inward in the longitudinal direction of the vehicle; and a bumper reinforcement, arranged with a length direction of the bumper reinforcement coinciding with the width direction of the vehicle, at an outer-end portion side of the crush boxes in the longitudinal direction of the vehicle, the other end of each respective crush box being fixed to an inner side of the bumper reinforcement in the longitudinal direction of the vehicle, the bumper reinforcement comprising a hat-shaped open cross-section where a recess portion recessed outward with respect to the vehicle is provided in an inner surface of the bumper reinforcement in the longitudinal direction of the vehicle, a size of an open-end portion of the recess portion in a vertical direction of the vehicle being set larger than a size of the side member in the vertical direction of the vehicle, and the size of the open-end portion of the recess portion in the vertical direction of the vehicle being set larger than a size of the crush box in the vertical direction of the vehicle; wherein at an outer region of the bumper reinforcement in the width direction of the vehicle, a size of the recess portion in the vertical direction of the vehicle is set in such a manner as to increase from an outer-end portion of the recess portion in the longitudinal direction of the vehicle toward an inner-end portion of the recess portion in the longitudinal direction of the vehicle; characterized in that at a central region of the bumper reinforcement in the width direction of the vehicle, the size of the recess portion in the vertical direction of the vehicle is set in such a manner as to become substantially constant from an outer-end portion of the recess portion in the longitudinal direction of the vehicle toward an inner-end portion of the recess portion in the longitudinal direction of the vehicle. a respective side member arranged at each respective end portion, in a width direction of the vehicle, of a front portion or a rear portion of the vehicle, each respective side member being extended with a length direction coinciding with a longitudinal direction of the vehicle; respective crush boxes, each respective crush box assuming a cylindrical shape, one end of each respective crush box being fixed to an outer-end portion of a respective side member in the longitudinal direction of the vehicle, each respective crush box being arranged with a length direction coinciding with the longitudinal direction of the vehicle, and each crush box being configured to plastically deform through compression in the longitudinal direction of the vehicle due to inputting of a collision load inward in the longitudinal direction of the vehicle; and a bumper reinforcement, arranged with a length direction of the bumper reinforcement coinciding with the width direction of the vehicle, at an outer-end portion side of the crush boxes in the longitudinal direction of the vehicle, the other end of each respective crush box being fixed to an inner side of the bumper reinforcement in the longitudinal direction of the vehicle, the bumper reinforcement comprising a hat-shaped open cross-section where a recess portion recessed outward with respect to the vehicle is provided in an inner surface of the bumper reinforcement in the longitudinal direction of the vehicle, a size of an open-end portion of the recess portion in a vertical direction of the vehicle being set larger than a size of the side member in the vertical direction of the vehicle, and the size of the open-end portion of the recess portion in the vertical direction of the vehicle being set larger than a size of the crush box in the vertical direction of the vehicle; wherein at an outer region of the bumper reinforcement in the width direction of the vehicle, a size of the recess portion in the vertical direction of the vehicle is set in such a manner as to increase from an outer-end portion of the recess portion in the longitudinal direction of the vehicle toward an inner-end portion of the recess portion in the longitudinal direction of the vehicle; characterized in that at a central region of the bumper reinforcement in the width direction of the vehicle, the size of the recess portion in the vertical direction of the vehicle is set in such a manner as to become substantially constant from an outer-end portion of the recess portion in the longitudinal direction of the vehicle toward an inner-end portion of the recess portion in the longitudinal direction of the vehicle.