A system includes a wireless power transfer apparatus and a wireless power reception apparatus. The wireless power transfer apparatus includes a transmitting coil, an inverter including switching elements, and a first controller configured to calculate an output level of power transmitted through the transmitting coil, receive data on a target level for power transmitted through the transmitting coil from the wireless power reception apparatus, and control the inverter based on comparing the output level and the target level. The wireless power reception apparatus includes a receiving coil, a rectifier configured to rectify power transmitted from the receiving coil, a capacitor connected to the rectifier, and a second controller configured to calculate a voltage applied to the capacitor, determine the target level based on comparing the calculated voltage and a first reference voltage, and transmit the target level to the wireless power transfer apparatus.