A method for lighting a high-pressure discharge lamp that is configured to change a power to be supplied to the high-pressure discharge lamp in accordance with a luminance parameter of an image content is disclosed. In the method, halogen is encapsulated in an internal space of an arc tube part of the high-pressure discharge lamp with an excessive volume with respect to a capacity of the internal space such that a halogen cycle is established when part of mercury deposits without vaporizing, and the internal space is configured to be kept at a higher temperature than a blackening temperature that is lower than a deposition temperature of the mercury and causes remarkable blackening on an inner wall of the arc tube part.