An engine output control unit of a work vehicle is configured to set a target rotation speed of an engine by using an engine output torque curve, to control an output of the engine. The engine output control unit is configured to control the output of the engine so as to set torque to be higher than torque at an actual rotation speed obtained using the engine output torque curve. Typically, when the actual rotation speed of the engine becomes smaller than the target rotation speed, the engine output control unit sets an engine output torque curve that is greater in torque at the actual rotation speed than the engine output torque curve, and switches control of the output of the engine from control performed using the engine output torque curve to control performed using the engine output torque curve.