A vehicle power train control apparatus is provided that basically comprises an output characteristics changing section, an operation mode determining section and a control section. The output characteristics changing section changes engine output characteristics of a vehicle with respect to an operation of an accelerator pedal. The operation mode determining section determines an operation mode of the vehicle among a plurality of operation modes including at least a reacceleration response mode based on driving information of the vehicle. The control section controls the output characteristics changing section to change the engine output characteristics under a reduced accelerator position state during the reacceleration response mode to increase a driving force upon reacceleration of the vehicle when an accelerator position is increased after the vehicle was decelerated.