A control device for an electric parking brake controls a motor for driving a friction member of the electric parking brake. The control device includes a processing unit which starts the motor in order to drive the friction member to a direction for placing the electric parking brake in a locked state; measures a current value of the motor in an operating state thereof; determines a cut-off current value from the measured current value of the motor according to a predetermined rule defining a correlation between the cut-off current value of the motor, by which a braking force necessary for the electric parking brake in the locked state is generated, and an increasing rate of the current; and stops the motor when the current value of the motor reaches the determined cut-off current value.