A control circuit used in a resonant converter with a switching circuit and a resonant circuit is provided, the switching circuit has a high side transistor and a low side transistor, the resonant circuit has a resonant capacitor and a resonant inductor. The control circuit includes: a calculating module used to generate an output current calculating value based on a voltage across the resonant capacitor and a correction signal at an off moment of the high side transistor; a comparing module used to compare the output current calculating value with a burst mode threshold value and generate a burst mode control signal by comparing the output current calculating value with the burst mode threshold value; and a switching control module used to control the resonant converter to work in a burst mode or a normal mode based on the burst mode control signal.