A shift range control apparatus acquires a motor rotation angle signal corresponding to a rotation position of a motor, calculates a motor angle based on a motor rotation angle signal, acquires an output shaft signal corresponding to the rotation position of an output shaft, sets a target rotation angle based on a target shift range and the output shaft signal, drives the motor to cause the motor angle to reach the target rotation angle, determines the shift range based on the output shaft signal, monitors a fault in the output shaft signal, and learns a P-side reference position corresponding to the motor angle in a situation where the engagement member abuts against a first wall portion of the shift range switching mechanism, in a condition that the fault occurs in the output shaft signal.