An impact-absorbing structure for a vehicle, the impact-absorbing structure comprising: a bumper reinforcement extending in a vehicle width direction; and one pair of impact-absorbing members extending from both ends of the vehicle width direction of the bumper reinforcement to one side of the front and rear direction, wherein each of the impact-absorbing members has an open cross-sectional shape, the open cross-sectional shape extending over the entire impact-absorbing member in the front and rear direction, each of the impact-absorbing members includes: an upper wall; a lower wall disposed below the upper wall to face the upper wall; and a side wall extending in a vertical direction between edges of a second side of the vehicle width direction of each of the upper wall and the lower wall; and each of the upper wall and the lower wall includes a plurality of plate-shaped flat portions (41a, 41c, 42a, 42c) adjacent to each other in the vehicle width direction, and a step portion (41b, 42b) connecting the adjacent flat portions (41a, 41c, 42a, 42c) while forming a step in the vertical direction, characterised in that the one pair of impact-absorbing members is formed of a fiber-reinforced plastic including a plurality of reinforced fibers arranged to extend continuously in a front and rear direction, wherein each of the impact-absorbing members having an open cross-sectional shape is open to a first side of the vehicle width direction, and each of the impact-absorbing members further includes: an upper flange portion extending, in a cross-section of the impact-absorbing member, upward from an edge on the first side of the vehicle width direction of the upper wall; a lower flange portion extending, in the cross-section of the impact-absorbing member, downward from an edge on the first side of the vehicle width direction of the lower wall, and at least one curved portion (43a, 43b, 43c) that, in the cross-section of the impact-absorbing member, is curved to the vehicle width direction in a protruding manner is formed in the side wall. a bumper reinforcement extending in a vehicle width direction; and one pair of impact-absorbing members extending from both ends of the vehicle width direction of the bumper reinforcement to one side of the front and rear direction, wherein each of the impact-absorbing members has an open cross-sectional shape, the open cross-sectional shape extending over the entire impact-absorbing member in the front and rear direction, each of the impact-absorbing members includes: an upper wall; a lower wall disposed below the upper wall to face the upper wall; and a side wall extending in a vertical direction between edges of a second side of the vehicle width direction of each of the upper wall and the lower wall; and an upper wall; a lower wall disposed below the upper wall to face the upper wall; and a side wall extending in a vertical direction between edges of a second side of the vehicle width direction of each of the upper wall and the lower wall; and each of the upper wall and the lower wall includes a plurality of plate-shaped flat portions (41a, 41c, 42a, 42c) adjacent to each other in the vehicle width direction, and a step portion (41b, 42b) connecting the adjacent flat portions (41a, 41c, 42a, 42c) while forming a step in the vertical direction, characterised in that the one pair of impact-absorbing members is formed of a fiber-reinforced plastic including a plurality of reinforced fibers arranged to extend continuously in a front and rear direction, wherein each of the impact-absorbing members having an open cross-sectional shape is open to a first side of the vehicle width direction, and each of the impact-absorbing members further includes: an upper flange portion extending, in a cross-section of the impact-absorbing member, upward from an edge on the first side of the vehicle width direction of the upper wall; a lower flange portion extending, in the cross-section of the impact-absorbing member, downward from an edge on the first side of the vehicle width direction of the lower wall, and at least one curved portion (43a, 43b, 43c) that, in the cross-section of the impact-absorbing member, is curved to the vehicle width direction in a protruding manner is formed in the side wall. an upper flange portion extending, in a cross-section of the impact-absorbing member, upward from an edge on the first side of the vehicle width direction of the upper wall; a lower flange portion extending, in the cross-section of the impact-absorbing member, downward from an edge on the first side of the vehicle width direction of the lower wall, and at least one curved portion (43a, 43b, 43c) that, in the cross-section of the impact-absorbing member, is curved to the vehicle width direction in a protruding manner is formed in the side wall.