An ANPC inverter, a zero-crossing switching method and a zero-crossing switching apparatus of the ANPC inverter are provided. The method includes: controlling switch states of switch devices in a bridge leg to change according to a preset logic when zero-crossing switching occurs in an output voltage instruction of the bridge leg, so as to prevent overvoltage in the switch device in the bridge leg. The preset logic includes switching among a sequence of switch state combinations. Switch state combinations of the switch devices before and after the zero-crossing switching occurs are defined as the first and second switch state combinations of the sequence. The second to the penultimate switch state combinations are all safe switch state combinations selected in advance, in each of which a maximum voltage borne by the switch devices in the bridge leg is clamped to a safe limit value.