Abstract: The device comprises a flexible band, composed of two layers which are established by the band being folded back, which band is associated with an energy-absorbing member. The members are fashioned as a plurality of loops from an elastic long-sized material, which are fastened on the band between its layers. The loops of the band layers are consecutively interconnected by virtue of tricot knit in a direction from the ends of the band towards the place where it is folded back. One of the ends of the band may be connected to a stationary fixed support, while applied to the other end may be a load F directed to destruct the knit in a direction opposite to that of unknitting. The most promising practical application of the present invention lies with shock absorbers of safety belts for builders, erectors, mountaineers, as well as with automobile safety seat belts.