The invention discloses a double-evaporation-temperature injection refrigerating machine and method based on a mixed working medium. The refrigerating machine comprises a first throttling valve, a second throttling valve, a high-temperature evaporator, a low-temperature evaporator, an injector, an air-cooled condenser, a gas-liquid separator, a water-cooled condenser, a generator and a circulating pump; the generator, the ejector, the air-cooled condenser, the gas-liquid separator and the circulating pump form a power cycle; the ejector, the air-cooled condenser, the gas-liquid separator, the first throttling valve and the high-temperature evaporator form a first refrigeration cycle, and high refrigeration temperature is achieved; and the ejector, the air-cooled condenser, the gas-liquid separator, the water-cooled condenser, the second throttling valve and the low-temperature evaporator form a second refrigeration cycle, and low refrigeration temperature is achieved. A non-azeotropic mixed working medium is adopted, the ejection compression ratio of the ejector is reduced, the ejection coefficient of the ejector is improved, meanwhile, a low evaporation refrigeration temperature and a high evaporation refrigeration temperature are achieved, and the overall refrigeration coefficient of the device is improved.