Abstract: In an automatic transmission of the type wherein a stage intermediate between a higher speed stage and a lower speed stage is achieved through a clutch-to-clutch operation, a power-ON skip downshift is executed via the intermediate stage. First, when the skip downshift has been judged, the hydraulic pressure of the clutch (C4) of the higher speed stage is lowered. Next, when the input speed(r.p.m.) of the transmission have reached the synchronous r.p.m. (SS3) of the intermediate stage, the hydraulic pressure (P3) of the clutch (C3) of the intermediate stage is raised and adjusted so that the rise rate of the input r.p.m. may become a specific value d/dt(NT1). When the input r.p.m. have exceeded the synchronous r.p.m. (SS2) of the lower speed stage, the hydraulic pressure of the intermediate-stage clutch (C3) is adjusted so that the input r.p.m. may keep specific r.p.m. higher than the synchronous r.p.m.