An inverter controller dives an inverter to operate at a switching frequency selectively from one of a preheating frequency (f1), a starting frequency (f2), and a lighting frequency (f3) which are different from each other, thereby giving a preheating mode, a starting mode, and a lighting mode. A reset means is provided to make the starting mode upon lowering of a voltage supplied to the inverter below a first threshold, while an inverter stop means is provided to stop the inverter upon detection of abnormality of a discharge lamp. A timer generates a signal determining the start of the preheating, starting, and/or lighting modes, and generates a reset signal disable signal for disabling the reset means, an inverter stop disable signal for disabling the inverter stop means. The inverter controller includes a frequency sweep means for varying the switching frequency gradually from the starting frequency to the lighting frequency. The timer disables the reset means only during a period starting from the selection of the preheating frequency and ending when the switching frequency varies to the lighting frequency, and disable the inverter stop means only during a period starting from the selection of the preheating frequency and ending when the switching frequency begins to vary from the starting frequency to the lighting frequency.