A vehicle-body structure, comprising: a pair of right-and-left crash cans (20, 20) provided at an end portion of a vehicle body, which are spaced apart from each other in a vehicle width direction; a bumper reinforcement configured to extend in the vehicle width direction, and wherein the bumper reinforcement is configured to connect respective tip portions of the crash cans (20, 20); a set plate interposed between each of the crash cans (20, 20) and a vehicle-body side frame, wherein each of the crash cans (20, 20) is fixed to the vehicle-body side frame via the set plate; and a brace configured to extend obliquely, in a plan view, from an inward side, in the vehicle width direction, of the crash can or the set plate to the bumper reinforcement such that a space is formed, in the vehicle with direction, between the brace and the crash can, characterised in that: said brace is fixedly joined to a lower face of said bumper reinforcement, said brace comprises a vertical-directional face portion which is fixedly joined to a face of a side of said bumper reinforcement which is positioned closely to the vehicle body, the vertical-directional face portion comprises a first face portion at a tip-side of the brace with a first height in a vertical direction, and a second face portion at a base-end-side of the brace with a second height in a vertical direction, and wherein the first height is smaller than the second height, the vertical-directional face portion further comprises an upper end portion of the first face portion which is set as a first joint portion configured to be fixed to a lower wall of the body part by line welding, and a tip portion of the second face portion which is set as a second joint portion configured to be fixed to a front wall of the body part by line welding, and both of the joint portions (31c, 31d) are fixed to the lower wall and the front wall of the body part. a pair of right-and-left crash cans (20, 20) provided at an end portion of a vehicle body, which are spaced apart from each other in a vehicle width direction; a bumper reinforcement configured to extend in the vehicle width direction, and wherein the bumper reinforcement is configured to connect respective tip portions of the crash cans (20, 20); a set plate interposed between each of the crash cans (20, 20) and a vehicle-body side frame, wherein each of the crash cans (20, 20) is fixed to the vehicle-body side frame via the set plate; and a brace configured to extend obliquely, in a plan view, from an inward side, in the vehicle width direction, of the crash can or the set plate to the bumper reinforcement such that a space is formed, in the vehicle with direction, between the brace and the crash can, characterised in that: said brace is fixedly joined to a lower face of said bumper reinforcement, said brace comprises a vertical-directional face portion which is fixedly joined to a face of a side of said bumper reinforcement which is positioned closely to the vehicle body, the vertical-directional face portion comprises a first face portion at a tip-side of the brace with a first height in a vertical direction, and a second face portion at a base-end-side of the brace with a second height in a vertical direction, and wherein the first height is smaller than the second height, the vertical-directional face portion further comprises an upper end portion of the first face portion which is set as a first joint portion configured to be fixed to a lower wall of the body part by line welding, and a tip portion of the second face portion which is set as a second joint portion configured to be fixed to a front wall of the body part by line welding, and both of the joint portions (31c, 31d) are fixed to the lower wall and the front wall of the body part. said brace is fixedly joined to a lower face of said bumper reinforcement, said brace comprises a vertical-directional face portion which is fixedly joined to a face of a side of said bumper reinforcement which is positioned closely to the vehicle body, the vertical-directional face portion comprises a first face portion at a tip-side of the brace with a first height in a vertical direction, and a second face portion at a base-end-side of the brace with a second height in a vertical direction, and wherein the first height is smaller than the second height, the vertical-directional face portion further comprises an upper end portion of the first face portion which is set as a first joint portion configured to be fixed to a lower wall of the body part by line welding, and a tip portion of the second face portion which is set as a second joint portion configured to be fixed to a front wall of the body part by line welding, and both of the joint portions (31c, 31d) are fixed to the lower wall and the front wall of the body part.