A control device of a vehicle including a motor and a multi-speed type automatic transmission configured to include a plurality of engagement devices (CI to C4, B1, B2), the automatic transmission shifted to a plurality of gear positions by switching an engagement state of the plurality of engagement devices, the control device of the vehicle including a shift control portion configured to engage the engagement device to be engaged during a shift and to release the engagement device to be released during the shift when the shift to a predetermined gear position is determined, the shift control portion configured to control an engagement hydraulic pressure of an engagement device to be released during the shift so as to control a rotation speed of a rotating element of the automatic transmission during an upshift in a driven state in which a drive torque is not output from the motor, and to control an engagement hydraulic pressure of an engagement device to be engaged during the shift so as to control the rotation speed of the rotating element of the automatic transmission during an upshift in a driving state in which a drive torque is output from the motor, the shift control portion configured to control the engagement hydraulic pressure of the engagement device to be engaged during the shift so as to control the rotation speed of the rotating element of the automatic transmission during a downshift in the driven state in which a drive torque is not output from the motor, and to control the engagement hydraulic pressure of the engagement device to be released during the shift so as to control the rotation speed of the rotating element of the automatic transmission during a downshift in the driving state in which a drive torque is output from the motor, the control device of a vehicle characterized by comprising: a hydraulic pressure surge control portion configured to increase an instruction pressure of the engagement device to be engaged during the shift, controlling the rotation speed of the rotating element of the automatic transmission, to a predetermined target surge pressure (Psg) for a target surge time when switching is performed during the upshift of the automatic transmission in the driven state in which a drive torque is not output from the motor, to the driving state in which a drive torque is output from the motor, the hydraulic pressure surge control portion configured to increase an instruction pressure of the engagement device to be released during the shift, controlling the rotation speed of the rotating element of the automatic transmission, to a predetermined target surge pressure for a target surge time when switching is performed during the downshift of the automatic transmission in the driven state in which a drive torque is not output from the motor, to the driving state in which a drive torque is output from the motor, wherein the target surge time is adjusted based on a piston stroke end attainment degree estimated based on a time during which the instruction pressure of the engagement device subjected to the output of the target surge pressure is less than a preset piston stroke end pressure (Pend) at which a space is eliminated between a piston and an engagement element constituting the engagement device and a time during which the instruction pressure is equal to or greater than the piston stroke end pressure.