Described is a bumper arrangement 1 for a vehicle with a cross member 2 extending in the direction of the width of the vehicle and with two
crash boxes 10 arranged apart from each other in the direction of the longitudinal extent of the cross member 2, designed as hollow chamber profiles, wherein the cross member 2 comprises an upper chord 4, a lower chord 5, a web 6 connecting the two chords 4, 5 at their
edge region facing the vehicle, and a vertical
flange 8, 9 extending vertically away from the upper chord 4 and / or the lower chord 5 at their edge opposite the web 6, and wherein the
crash boxes 10 have in their front connection section 15 facing the cross member 2 a cross member receptacle engaging in the side walls 14, 14.1 extending in the direction of the longitudinal extent of the cross member 2 with their planar extensions, characterized in that - the upper and / or the lower side walls 12, 13 that vertically delimit the
crash boxes 10 have a greater
vertical distance to the belt 4, 5, which points with its flat side in the same direction, than the end of the vertical
flange 8, 9 of the cross member 2 from this belt 4, 5, - the crash boxes 10 in their connection section 15, in addition to the cross member receptacle 16, have a shortening of at least one side wall 13 limiting the vertical extent of a
crash box 10, which projects vertically towards the vertical
flange 9, whereby the front face of these side walls is spaced horizontally away from the vertical flange and - each crashbox 10 is assigned a support element 20 with a
support surface 21 pointing towards the front face of the shortened side wall, on which this front face is supported, which support element 20 is connected to the rear of the vertical flange 9 with its end 24 opposite the
support surface 21 in the direction of the cross member 2.