A control circuit for a power converter is disclosed, having a shared pin, a driving circuit, a current source, a sampling circuit, and a signal processing circuit. The shared pin is used for coupling with an output end of the power converter through a resistor. The driving circuit is used for conducting a switch of the power converter. The current source provides a current to the resistor through the shared pin. The sampling circuit samples the signal on the shared pin for generating a first sampling value and a second sampling value. When the difference between the first sampling value and the second sampling value is less than a predetermined value, the signal processing circuit configures the driving circuit to adjust at least one of the conduction time and the conduction frequency of the switch according to an output signal of the power converter received from the shared pin.