A power supply method and apparatus of a line interactive UPS utilizes a bi-directional AC/AC power converter in association with the AC delta control concept. When the line voltage coupled to the AC/AC power convert exceeds high/low statuses, the UPS is operated in a line voltage conversion mode, wherein the AC/AC power converter supplies a voltage to compensated the line voltage based on the stability of the line voltage, and then the compensated stable voltage is further provided to the load so as to perform the voltage boost (step-up) and/or voltage buck (step-down).