A speed change control device of an automatic transmission comprises a first control section that, upon detecting a speed change instruction for a speed change from a first given speed to a second given speed, carries out the speed change by reducing an engaging pressure of a releasing side frictional element that has established the first given speed and increasing an engaging pressure of an engaging side frictional element that would establish the second given speed; a second control section that carries out a correction processing to increase the engaging pressure of the releasing side frictional element when a throttle open degree is increased during the speed change carried out by the first control section; and a third control section that inhibits the correction processing of the second control section when the engaging pressure of the releasing side frictional element is lower than a given value.