In a discharge lamp lighting apparatus, in a transient period from the time a discharge lamp is lit in a cold state to the time the discharge lamp reaches a static lighting state, the power applied to the discharge lamp is reduced over time after an initial maximum power that exceeds the rated power. A maximum power regulator circuit is provided to regulate the applied power in the transient period such that the applied power does not exceed an upper limit power line M1 or M2 that is reduced over time after the application of the initial maximum power. In this way, the application of excessive transient power is prevented from continuing longer than necessary in the event of a failure in a load, thus limiting the amount of generated heat and preventing thermal destruction.