A device and control method for driving a sensorless brushless DC (BLDC) motor, particularly related to a technology configured to increase the accuracy of detection of Zero Cross Point through a non-commutation period in a pulse width modulation (PWM) control. The device for driving a sensorless BLDC motor to switch a current applied to a stator winding based on a position of a rotor includes a three phase inverter configured to convert a DC input voltage into a three phase AC voltage and supply the three phase AC voltage to the BLDC motor; a terminal voltage detector configured to detect a three phase terminal voltage from an output terminal of the three phase inverter; and a controller configured to perform a PWM control of the terminal voltage based on a three phase back electromotive force (EMF) included in the detected terminal voltage. The PWM control includes a non-commutation control in which the switching of the current does not occur.