This paper introduces a convex model based on mixed-integer second-order cone programming (MISOCP) for the optimal operation of a battery energy storage system (BESS), and a hydrogen energy storage system (HESS) in an electrical distribution network (EDN), to provide the peak load shaving. The model minimizes the cost of the energy procurement from the substation, as well as the operational costs of the energy storage systems (ESSs). Three cases are presented according to the ESSs included in the EDN: the first one considers only the BESS operation. On the other hand, the second one considers only the HESS operation. Both the BESS and the HESS operation are carried out in the third one. The model has been tested in an 11-node radial network with solar and wind generation. Although the BESS operation reaches the greatest reductions in peak load demand and energy procurement cost, HESS is also capable to realize the peak shaving.