A high-pressure discharge lamp lighting device includes: a power converter circuit which includes a plurality of switching elements and an inductance element, converts an input from a DC power supply, and supplies a rectangular wave AC output to a high-pressure discharge lamp; and a control circuit which controls the switching elements of the power converter circuit. The control circuit performs first lighting control in which the switching elements of the power converter circuit are controlled in order to supply a current to a peak value for each switching cycle, and performs second lighting control in which desired power is supplied during steadily lighting state of the high-pressure discharge lamp; and the first lighting control and the second lighting control are switched over in response to a lighting state of the high-pressure discharge lamp.