Abstract: The invention relates to a bumper for a vehicle body having two side members (11, 12), said bumper consisting of a bumper bracket (13) extending over the width of the body, with two deformation members (14, 15) projecting at right angles from the back at a distance from one another, said members being integral with bumper bracket (13) and being connectable by bolt connections (20) with side members (11, 12). The deformation members (14, 15) are more resistant to deformation than bumper bracket (13), so that they deform to absorb additional energy only when the ability of bumper bracket (13) to deform is exhausted.