Disclosed is a drain pump driving apparatus and a laundry treatment machine including the same. The laundry treatment machine includes: a drain pump driving apparatus configured to drive a drain pump, wherein the drain pump driving apparatus includes: a motor to drive the drain pump; an inverter to convert a direct current (DC) power to an alternating current (AC) power by a switching operation, and output the converted AC power to the motor; an output current detector to detect an output current flowing to the motor; and a controller configured to control the inverter, wherein the controller is further configured to calculate a speed of the motor based on an output current, and calculate a lift, which is a difference between a water level of a water introduction part through which water flows into the drain pump and s water level of a water discharge part for discharging water from the drain pump, based on the calculated speed.