Results of experimental investigation into pumping the gas discharge tube by a generator with an inductive energy storage and semiconductor opening switch at a high pulse repetition frequency (PRF) are considered. For the first time, the PRF of 12 kHz has been obtained for such a type of the generators. At a discharge through a 80-cm long tube, current pulses with a pulse leading edge shorter than 10 ns were obtained at the current amplitude of 550 A. It is suggested to use such a generator for pumping metal-vapor repetitively pulsed lasers, including copper-vapor laser, which are widely used in the laser monitoring of the atmosphere.