The paper presents investigation results on amplification and generation in supersonic flow of laser medium, flowing along laser axis, namely: 1. Opportunity to suppress laser amplifier self-oscillation and to increase maximum permissible gain is demonstrated. 2. It is shown that in supersonic flow medium splitting of gain line takes place and for that reason oscillation is double frequency in a flat resonator laser and single-frequency in each direction in a ring laser. 3. The efficiency of flowing medium laser as a master oscillator for high power lasers with phase conjugation mirror is demonstrated.