A shift control apparatus of an automatic transmission includes: an input detecting unit configured to detect a real rotational speed of the input shaft; an output detecting unit configured to detect a real rotational speed of the output shaft; an estimating unit configured to estimate an estimated rotational speed of the input shaft, which corresponds to a shift request, by multiplying the real rotational speed of the output shaft by a target gear ratio; and a control unit configured to control the rotation of the input shaft based on a detection result from the input detecting unit. The control unit controls the rotation of the input shaft such that an upper-limiting rotational speed of a variation in real rotational speed of the input shaft is lower than the estimated rotational speed.