Disclosed herein are an apparatus and a method for driving an e-paper panel. The e-paper panel driving apparatus includes a DC/DC converter that converts and outputs DC voltage to be input into a preset voltage and supplies the output voltage as a driving voltage of an e-paper panel; a sensing module that senses load conditions of the e-paper panel; and a control module that varies the driving frequency of the DC/DC converter according to the load conditions of the e-paper panel sensed by the sensing module. According to the present invention, the driving clock of the DC/DC converter that supplies the driving voltage to the e-paper panel is varied in consideration of the load conditions of the e-paper panel, thereby making it possible to prevent an image quality of the e-paper panel from being degraded due to unstable power supply, while simultaneously minimizing unnecessary power consumption of the e-paper panel driving apparatus.