In one embodiment, a control circuit configured for an interleaved switching power supply having first and second voltage conversion circuits, can include: a feedback compensation signal generation circuit that generates a feedback compensation signal; a first power switch control circuit that activates a first on signal when a first voltage signal that represents an inductor current of the first voltage conversion circuit is less than the feedback compensation signal, a first power switch of the first voltage conversion circuit being turned on based on the first on signal, and turned off after a predetermined time; and a second power switch control circuit that activates a second on signal after half of a switching period from a rising edge of the first on signal, and a second power switch control signal to turn on a second power switch of the second voltage conversion circuit based on the second on signal.