Disclosed herein is a head-up display apparatus for a vehicle. The head-up display includes an information analysis unit, a first information determination unit, a second information determination unit, and an information display unit. The information analysis unit collects vehicle state information, driver state information, driving environment state information, driver gaze information, individual characteristic information and common characteristic information from a plurality of information collection units, and analyzes the collected information. The first information determination unit prioritizes the vehicle state information, the driver state information, and the driving environment state information. The second information determination unit determines a driver's field of view based on driver field of view information and driver individual and common characteristic information. The information display unit changes information to be displayed to the driver based on priorities and the driver's field of view, and then displays the changed information.