The invention relates to a double-cylinder variable-capacity compressor and an air conditioner. The double-cylinder variable-capacity compressor comprises a motor and a pump body assembly, the motor comprises a stator and a rotor, the rotor is arranged in the stator, the rotor can drive the pump body assembly to work when rotating relative to the stator, the displacement of the pump body assemblyis V, the induction voltage constant between stator wires is E, and when the rotating speed of the motor is 1000 RPM, and E and V meet the following formula: E=kV, wherein the value range of k is 0.9-1. According to the double-cylinder variable-capacity compressor and the air conditioner, when the rotating speed of the motor is 1000 RPM, E and V meet the formula that E=(0.9-1) V, when the double-cylinder variable-capacity compressor is low in load, the operating frequency of the motor is lower, the current harmonic content of a motor winding is greatly reduced, meanwhile, the voltage harmoniccontent of the motor end is greatly reduced, the motor iron core loss is obviously reduced, and the motor winding loss is basically unchanged; and the motor efficiency is improved, and the energy efficiency of the double-cylinder variable-capacity compressor is improved.