A control device for a vehicle controls a motor-driven pump at an appropriate timing when an internal combustion engine is stopped or starts. An ECU of the control device comprises an operation determination section which determines whether or not the motor-driven pump is operated depending on the value of an idling stop flag that makes the internal combustion engine stop, depending on a measured value output from an oil pressure sensor for measuring oil pressure in oil lines providing operation oil to a torque converter and a transmission, and depending on a measured value output from an oil temperature sensor for measuring the temperature of the operation oil; and a target electrical current calculation section for calculating a target value of electrical current to be supplied during the operation of the motor-driven oil pump depending on the determination result by the operation determination section. The target electrical current calculated by the target electrical current calculation section is input to a driving section of the motor-driven oil pump, and the driving section provides driving electrical power to the pump depending on the target electrical current.