A brake-controllable brushless motor has a rotor and a stator having polyphase coils; a polar position detector whereby electric power is supplied to the coil selected by its phase in response to the polar positions of the rotor detected by the polar position detector; a driver division for controlling the electric supply to the coils; a motor pulse identifier for recognizing motor pulse signals fed from the polar position detector; and a delayed pulse generator for producing phase-delayed pulse signals in response to the pulse signals fed from the motor pulse identifier, thereby ensuring that when the brushless motor is braked, the phase delay of the delayed pulse signals is progressively and continuously enlarged, and that the coils receive a controlled electric supply from the driver division in response to the delayed pulse signals.