An apparatus for compensating for a position error of a resolver has a controller which is configured to: receive position information of a rotor of a motor, which is detected by the resolver, to measure a first position error, convert the first position error to a second position error at an electrical angular velocity of 0, and to store the second position error; receive a current electrical angular velocity and the second position error, convert the second position error to a third position error at the current electrical angular velocity, and compensate for the third position error; and perform determination of false position error compensation when a magnitude of a ripple at an electrical angular velocity, which is measured after the third position error has been compensated for, is equal to or greater than a reference magnitude.