A display apparatus and a driving method thereof are provided. A data driving chip provides a plurality of data voltages to a plurality of multiplexers through a plurality of output lines. When the display apparatus displays a pure gray pattern, the data voltages are alternately provided to a first data line group and a second data line group during a scan line driving period of each of the scan lines to make two adjacent pixels have different polarities. During a blank period, a plurality of data lines corresponding to a plurality of pixels having the same color and the same polarity on two adjacent scan lines are electrically coupled to each other through the data driving chip to share charges.