In a gearshift control apparatus for an automatic transmission which performs a downshift under power ON state, after a command for a clutch-to-clutch downshift has been issued, the hydraulic pressure of a higher-speed-stage side clutch is first lowered to raise the input r.p.m. of the transmission. When the beginning of rise in the input r.p.m. of the transmission has been detected, the hydraulic pressure of the higher-speed-stage side clutch is subjected to a feedback control so that the change rate of the input r.p.m. of the transmission may become a specific value. Upon the detection that the input r.p.m. of the transmission have come near to the synchronous r.p.m. of a lower speed stage, the hydraulic pressure of the lower-speed-stage side clutch is gradually raised, and simultaneously, the hydraulic pressure of the higher-speed-stage side clutch is subjected to a feedback control on the basis of the input r.p.m. of the transmission.