The present invention discloses a bridgeless active power factor corrector with a logic control comprising a high frequency switch controller, a boost inductor, an output filtering capacitor, two boost transistor modules, two boost diodes, two AC input voltage polarity detectors, and two low frequency switch drivers. With a coupling signal, the two AC input voltage polarity detectors respectively control the two low frequency switch drivers in conjunction with the high frequency switch controller to drive the two boost transistor modules with a logic control so that the inductor current releasing electric energy from the boost inductor can flow through the channels of the two boost transistor modules to effectively reduce the body diode conduction loss.