The laser parameters such as a population inversion density, a stimulated emission cross section and loss factor in the glass laser amplifier medium were experimentally determined in order to analyse the properties of laser amplification. Using these parameters, the rate equations were approximately solved and the properties of laser amplification were analysed. An experiment of two-stage amplifier of Q-switching laser pulse was performed and the maximum output power was 1.1 GW, 33J. The several problems such as a laser solarization and a laser coupling in laser amplification were resolved.