A pixel driving circuit and an OLED display are provided. The pixel driving circuit includes a first TFT, a second TFT, a third TFT, a fourth TFT, a capacitor, and an OLED. A gate of the third TFT is coupled to the scanning signal. A source of the third TFT is coupled to a drain of the fourth TFT. A gate of the fourth TFT is coupled to a data signal and a source of the fourth is coupled to a second reference voltage signal. The fourth TFT controls the electric current of the first TFT with the data signal and the second reference signal during the compensation stage of threshold voltage. Further, the compensation voltage of the first TFT is compensated.