Conditions, under which the influence of a discharge circuitry inductance on the efficiency of pulse-periodic copper vapor lasers is weak are determined. It is shown in this paper that for efficient pumping of the lasing transitions of Cu atom in these lasers it is advisable to form an excitation pulse having steep edges of voltage applied to the discharge tube with the duration spanning the pumping period and termination of the lasing process fulfilling at the same time conditions of aperiodic behavior of the discharge during the excitation pulse. Such a pumping pulse can be formed only if the storage capacitor of the discharge circuitry is discharged partially. It is shown that under such conditions of excitation the efficiency of copper vapor laser with respect to energy pumped into the active medium can reach 10 per cent.