An actuator for head-up display including a link coupled with one end of an aspherical mirror, a driving force transmission including a lead screw to move the link, a driver to rotate the lead screw in a direction of a rotation axis of a motor according to driving of the motor, a lead screw bracket coupled to the driver and supporting the driver, a vibration damper disposed between the driver and the lead screw bracket to absorb vibration of the motor, and a balance plate disposed adjacent to a lower end portion of the motor to damp the vibration of the motor. The driver includes a rotor shaft that extends along the rotation axis of the motor, and the balance plate is coupled to the rotor shaft.