The invention provides a gas compressor, a gas turbine with the gas compressor and a gas compressor stability enhancement and efficiency improvement method. According to the gas compressor, through holes are formed in the wall surface, located on the high-pressure stage, of a casing, through holes are formed in the wall surfaces, located on the blade tops of low-pressure stage movable blades, of the casing, through holes are formed from the root portions of low-pressure stage stationary blades to suction surfaces of blade surfaces, and the through holes formed in the wall surface, located on the high-pressure stage, of the casing, the through holes formed in the wall surfaces, located on the blade tops of the low-pressure stage movable blades, of the casing and the through holes formed from the root portions of the low-pressure stage stationary blades to the suction surfaces of the blade surfaces are connected in sequence, so that a self-circulation mechanism with a suction-ejection function is formed. Part of gas sucked from the high-pressure stage of the gas compressor is guided back to the leading edges of the blade tops of the low-pressure stage movable blades and the suction surfaces of the blade surfaces of the low-pressure stage stationary blades through the self-circulation mechanism, and is ejected, and therefore the stall margin of the gas compressor is broadened, flow separation is restrained, and the efficiency of the gas compressor is effectively improved.