An electronic paper display and a driving method thereof are provided. The electronic paper display includes an electronic paper display panel, a touch panel and a processing circuit. The electronic paper display panel is configured to display a display screen with a background in a first color. The touch panel is integrated with the electronic paper display panel and configured to output a first touch coordinate of a current touch. The processing circuit is configured to drive the electronic paper display panel to display a first touch track having a second color and corresponding to the first touch coordinate and a previous touch coordinate. The processing circuit further drives, according to the first touch track and a previous touch track, the electronic paper display panel to display a predicted track having a third color.