A method pixel driving method of an organic light emitting diode (OLED) display and an apparatus thereof are provided. The method comprises the following steps. First, a pixel unit is reset to a predetermined voltage in a reset time period. After that, a frame period is divided into two driving time periods so that the pixel unit is finally charged to a pixel voltage. The charging process of the pixel unit is that the pixel unit is charged to a ground level in a first driving time period, and then the pixel unit is charged to the pixel voltage in a second driving time period.