In a gear shift control apparatus for a vehicle, since a torque sharing rate is set as a constraint for a motion equation for an automatic transmission, suitable control in torque delivery, which is considered difficult in gear shift control, can be implemented and also the motion equation can be solved. Furthermore, when at least four control operation amounts must be determined in order to achieve two gear shift target values, another engaging device is classified into any of an engaging-side clutch and a releasing-side clutch depending on how another clutch torque acts on progress of a gear shift, hence in addition to achieving torque sharing in accordance with a torque sharing rate between the engaging-side clutch and the releasing-side clutch, torque sharing among a plurality of engaging devices classified into a same side can be arbitrarily set. As a result, the respective control operation amounts can be determined.