The invention provides a refrigerator system using a tiny moving-magnetic type series-connection double-stage linear compressor. The refrigerator system comprises the moving-magnetic type series-connection double-stage linear compressor, a cold storing and refrigerating system and a freezing and refrigerating system. The cold storing and refrigerating system comprises a compressor, a condenser, a dry filter, an electromagnetic valve 1, a cold storing chamber capillary pipe, a cold storing chamber evaporator and a liquid storing device 1. The freezing and refrigerating system comprises a compressor, a condenser, a dry filter, an electromagnetic valve 2, a freezing chamber capillary pipe, a freezing chamber evaporator and a liquid storing device 2. The refrigerator system adopts the tiny moving-magnetic type series-connection double-stage linear compressor, and is compact in structure, small in size, free of oil lubrication and high in efficiency. The refrigerator system has three operation modes which comprise a single cold storage operation mode, a single freezing operation mode and a cold storing and freezing simultaneous operation mode. According to the refrigerator system, by the adoption of the series-connection double-stage linear compressor, the pressure ratio can be increased effectively, and lower temperature can be obtained.