The invention discloses a pixel driving circuit and a driving method thereof. The pixel driving circuit comprises a first transistor, a second transistor, a third transistor and a fourth transistor, storage capacitors, an organic light emitting diode (OLED), a bypass circuit, a data line, an N-1st scanning line and an Nth scanning line. A second end of the storage capacitor is connected with a source electrode of the first transistor, and the OLED is connected with the bypass circuit in parallel, so that current flowing through the OLED is completely determined by data voltage and is irrelevant to threshold voltage of the first transistor; the current flowing through the OLED completely relays on the data voltage of the data line, without increasing the number of the transistors, the capacitors and control lines too much, the threshold voltage can be accurately compensated in order to maintain uniformity and constancy of the display brightness, the aperture ratio and the display resolution can be improved easily, and the capability of inhibiting nonuniform distribution of the threshold voltage is improved; therefore, the pixel driving circuit and the driving method thereof have a relatively high practical value and can be expected to be widely used in a microelectronic industry and a flat panel display industry.