A head lamp for a vehicle wherein an actuator is made to be able to be moved to a leveling actuation range corresponding to output from a vehicle body sensor and to a beam change position B out of a leveling actuation range when a beam changing switch is set to a drive beam position, and if the actuator is moved to the beam change position B at least a part covering a lower half of a discharge lamp of the hood is moved back to switch it from a passing beam state to a drive beam state. The actuator for leveling actuation indispensable to be provided for the head lamp for a vehicle having the discharge lamp as a light source, makes it possible also to switch between the passing beam state and drive beam state, thereby dissolving problems of large size and high cost of the head lamp.