An impact-absorbing device is installed at a leading edge of a vehicle hood to protect a pedestrian. The impact-absorbing device includes a fixing member fixed to a body frame on an inside of the vehicle hood and having a guide portion formed at a front end thereof, a buffer member fixed to an upper surface of the guide portion and having specified torsional rigidity, a center portion of the buffer member being bent in a convex shape, first and second supports, each provided in the center portion and both ends of the buffer member, for supporting the leading edge of the vehicle hood, and a guide member fixed to an upper surface of the buffer member and supporting the first support slidably.