It is an object of the present invention to provide a control apparatus of an automatic transmission for carrying out neutral control and hill-hold control in a range that causes no slip of a hill-hold brake. The control apparatus comprises: a judgment means for determining in accordance with a signal output by the gradient detecting means whether or not an uphill road is steep enough to cause a hill-hold brake to slip with the hill-hold brake engaged; a hydraulic pressure reducing means for reducing the hydraulic pressure applied to a hydraulic servo of a clutch in order to put the clutch in an all but released state; a hydraulic pressure applying means for applying a hydraulic pressure to a hydraulic servo of a brake in order to engage the brake; and an execution means for letting the hydraulic pressure reducing means reduce the hydraulic pressure applied to the hydraulic servo and the hydraulic pressure applying means apply a hydraulic pressure to the hydraulic servo only if a stop state is detected by stop-state detecting means and an uphill road is determined by the judging means not to be steep enough to cause the hill-hold brake to slip. <IMAGE>
