Disclosed are a power stabilization circuit and a display device to which the power stabilization circuit is applied. The power stabilization circuit includes a thermistor provided on a first path through which an input power is supplied, to limit an inrush current of the power, a relay that provides a second path through which the power is supplied without passing through the thermistor, to allow the power to be transferred through the second path instead of the first path when a current is supplied, and a switching circuit that is switched to supply the current generated from the input power to the relay when an activation signal for activating at least one of a display and a backlight of the display is received.