Shift control device for vehicle

A shift control device for vehicle that improves an acceleration feeling while suppressing a shift shock is provided and includes a controller that controls an automatic transmission and a hydraulic controller. The controller, during an inertia phase where an input speed of the automatic transmission changes toward a synchronous speed in a gear stage after a shift, sets an oil pressure of a specific frictional engagement device configuring the gear stage after the shift, of a plurality of frictional engagement devices to an oil pressure that exceeds a first oil pressure to set a transmission torque capacity equal to a first drive torque applied to the specific frictional engagement device of a drive torque outputted from a prime mover, but is less than a second oil pressure to set a transmission torque capacity equal to a second drive torque which is the first drive torque to which has been added an inertia torque generated by inertia on a prime mover side accompanying a change in speed ratio. 提供种抑制变速冲击并提高加速感