An electrophoresis display for decreasing a drive voltage, and a driving method thereof are disclosed.In the electrophoresis display, an electrophoresis display panel has a plurality of data lines and a plurality of gate lines which are crossed each other, and a plurality of cells which are driven in accordance with a voltage applied to a pixel electrode and a common electrode. A data driving circuit converts a digital data into a data voltage to supply it to the data lines. A gate driving circuit supplies a scan pulse to the gate lines. A common voltage generation circuit supplies an AC common voltage that a polarity is inversed by one frame period for at least several frame periods, to the common electrode. And a timing controller controls of the data driving circuit, the gate driving circuit and the common voltage generation circuit, and supplies the digital data to the data driving circuit.