A blade pitch driving apparatus of a wind-driven generator and a driving method therefor are adapted to receive an external electrical power and impel a blade toward a corresponding pitch angle according to a pitch command. The apparatus includes an UPS, a permanent magnet synchronous motor drive (PMSM drive), an AC pitch motor (ACPM) and a hub controller. The hub controller normally switches the external power to the PMSM drive, receives the pitch command and control the ACPM to impel the blade toward the corresponding pitch angle. When the PMSM drive fails or the external electrical power is interrupted, the hub controller switches the electrical power of the UPS to the ACPM and controls the blade being impelled toward a feathered position.