Disclosed are a method for controlling a driving of a drum type washing machine preventing vibration and noise of a drum, reducing a usage of washing water, and reducing rinse time, and an apparatus thereof. To this end, the drum is rotated with a preset equilibrium speed faster than a speed that vibration of the drum is excessively generated accordingly as a rotation speed of the drum is decreased when a dewatering process of laundry is completed, and washing water is supplied into the drum type washing machine while maintaining the drum as the preset equilibrium speed.