A control apparatus for a vehicle includes an automatic transmission configured to attain a predetermined shift-stage by releasing an engaged friction-engagement element and by engaging a released friction-engagement element; a variation-start detecting section configured to detect that a parameter which varies with a progress of inertia phase has varied; a memorizing section configured to sequentially memorize a state of the vehicle; and a learning section configured to correct a control quantity for a next-time shift of the transmission on the basis of the state of vehicle memorized at a timing earlier by a given time interval than a timing when the variation-start detecting section detects that the parameter has varied.