Abstract: With the bumper mounting construction in accordance with the present invention, a bumper bracket 10 is disposed on the bottom plate 4b of a side member 4 to form a space 11 expanding toward the front in the front end portion 4a of the side member. On the other hand, a step portion 12 for positioning is disposed at the upper part of the end portion 2b of a bumper stay, and a stopper 13 is protruded at the deep portion of the space 11 corresponding to the step portion for positioning. Thus, when a bumper 1 is installed, the bumper stay 2 is positioned relative to the side member 4 and fixed temporarily thereto by engaging the step portion 12 for positioning with the stopper 13 while the bumper stay 2 is inserted in the space 11 along the bumper bracket 10.