A control device for a vehicular automatic transmission is provided which can preferably execute backpressure control of accumulators and torque-up control so as to minimize the occurrence of interference between learning on these controls during a gearshift operation. With the control device for the vehicular automatic transmission including the accumulators (104, 106 and 108) operative to control a hydraulic pressure supplied to second and third clutches (C2 and C3) and a third brake (B3), the backpressure control is executed for controlling a backpressure of the accumulators (104, 106 and 108) during the gearshift operation while the torque-up control is executed for raising torque output from an engine (12). Completion of learning on the backpressure control is determined when no completion of learning on the backpressure control is determined, learning on the backpressure control is executed with no execution of the torque-up control. Thus, no interference occur between learning on the backpressure control and the torque-up control.