A drive apparatus for a bistable displayer and a method thereof are provided for driving a bistable displayer with a plurality of pixels. The drive apparatus includes an initialization unit, a receiving unit and a display drive unit. The initialization unit is for generating at least one initial potential level to all pixels to perform initialization. The receiving unit is for receiving a plurality of gray levels. The display drive unit generates a waveform signal based on every gray level. The pulse width of the waveform signal relates to the value of the gray level. The waveform signal is then transmitted to a corresponding pixel to drive the pixel to be displayed.