Brake system and method for compensating for position data error of motor of the same

A brake system includes a motor which drives an electro mechanical brake, a motor position sensor which generates and outputs a rotor position signal of the motor, and a controller which is electrically connected to the motor and the motor position sensor, and the controller monitors a current or a voltage of at least one phase of three phases of the motor while controlling the motor to fixedly drive any one phase of three phases of the motor, determines an ambient temperature of the motor by monitoring a current or a voltage of at least one phase, and compensates for an electric angle of the motor obtained by an output signal of the motor position sensor based on the determined ambient temperature.