A shift control apparatus for an automatic transmission includes a controller. The controller is configured to control the automatic transmission. The automatic transmission includes a first input shaft, a second input shaft, an output shaft, a first clutch, a second clutch, and gear trains. In a case where a standby shift stage does not lie between a predetermined current shift stage and a target shift stage, the controller controls the first clutch to be disengaged and the second clutch to be engaged, and then controls a synchronizing device among synchronizing devices for the predetermined current shift stage to be disengaged and a synchronizing device among the synchronizing devices for the target shift stage to be engaged during a disengagement of the first clutch, and then controls the second clutch to be disengaged and the first clutch to be engaged.