The present invention relates to a head-up display for a vehicle configured to change display positions of a plurality of virtual images displayed through a windshield of the vehicle or the like to implement augmented reality and a control method thereof, and a head-up display for a vehicle according to an embodiment of the present disclosure may include a mirror unit comprising a first mirror for reflecting first and second image lights toward a windshield of the vehicle; a display layer located at the windshield of the vehicle to display a first virtual image corresponding to the first image light in a first region, and display a second virtual image corresponding to the second image light in a second region; and a controller configured to change an inclination of the first mirror to change a display position of the first and the second virtual image.