A flyback power converter circuit includes a transformer, a blocking switch, a primary side switch, a primary side controller circuit and a secondary side controller circuit. The transformer is coupled between an input voltage and an internal output voltage in an isolated manner. The blocking switch controls the electric connection between the internal output voltage and an external output voltage. In a standby mode, the internal output voltage is regulated to a standby voltage, and the blocking switch is controlled to be OFF; in an operation mode, the internal output voltage is regulated to an operating voltage, and the blocking switch is controlled to be ON, such that the external output voltage has the operating voltage. The standby voltage is smaller than the operating voltage, so that the power consumption of the flyback power converter circuit is reduced in the standby mode.