A sleep circuit for use in a resonant inverter is disclosed. The sleep circuit activates a “sleep mode” (non-continuous operation) when the inverter output has no connected load, or a connected load is non-operative (e.g., fails). The “sleep mode” utilizes hysteresis control via the under voltage lockout protection feature of a control IC of the inverter. A primary DC source permanently connects to the Vcc pin of the control IC for startup (on) and burst (non-continuous) operation modes. An auxiliary DC source connects to the Vcc pin via a switch for continuous operation mode. A load current sensor controls the switch. When a sensed output current is above a threshold level, the switch connects the auxiliary DC source, and the control IC (and the inverter) operates continuously. When the sensed output current falls below the threshold, the auxiliary DC source is not provided and the inverter operates in “sleep mode”.