An inverter for a display includes; an inverter controller generating a carrier signal for pulse width modulation and a lamp driving signal having on-time and off-time by pulse width modulating a dimming signal based on the carrier signal and controlling the on-time of the lamp driving signal in response to at least one of a vertical synchronization signal and a vertical synchronization start signal from the signal controller, a power switching element transmitting a DC voltage in response to a signal from the inverter controller, and a voltage booster for driving a lamp in response to a signal from the switching element, wherein the inverter controller includes a control block which generates the carrier signal and the lamp driving signal, a time constant setting block which determines a time constant of the carrier signal, and an initiation block which resets the time constant given by the time constant setting block.