A control circuit of an isolated flyback power converter providing bidirectional communication. The control circuit includes a pulse width modulation circuit, an oscillator, a primary transceiver, a secondary error amplifier and a secondary transceiver. The primary transceiver generates a feedback signal and a pulse-position signal. The secondary error amplifier generates an error signal in accordance with an output voltage of the power converter. The secondary transceiver generates a pulse modulation signal for transmitting the data from the secondary side to the primary side, and generates a frequency signal in response to a switching voltage of the transformer. The frequency signal is demodulated as the data transmitted from the primary side to the secondary side. The feedback signal is correlated to the error signal. The pulse-position signal is correlated to the pulse modulation signal. The error signal and the pulse modulation signal are coupled to an input of an optical coupler.