The technique of simulating the electro-hydraulic sheet metal forming process using finite element complex LS-DYNA is developed. The numerical model takes into account the actual geometry of the discharge chamber with coaxial electrodes as well as experimentally obtained function of energy input in the discharge channel. The results of simulation of electro-hydraulic drawing of stainless steel blank including the shape of the discharge channel, distribution of pulse pressure, and deformation of the blank are presented. The developed model is validated by comparing the numerically predicted and experimentally measured parameters of the blank in a final state after discharge.