A bumper beam structure for a vehicle includes a height-raising wall provided on an upper portion of a beam body to be fixedly on left and right frames of a vehicle body. The height-raising wall includes: a bottom wall portion fixed to the upper portion of the beam body; a running-up preventing wall portion extending upwardly from the bottom wall portion; a first reinforcing wall portion connecting to the respective one end of the running-up preventing and bottom wall portions; and a second reinforcing wall portion connecting to the respective other ends of the running-up preventing and bottom wall portions. With such a height-raising wall, the bumper beam structure can interfere with another vehicle of a higher height to prevent the other vehicle from running up onto the vehicle provided with the bumper beam structure.