A liquid crystal display apparatus and a method of driving the liquid crystal display apparatus, which commonly boosts pixels of a first group and commonly boosts pixels of a second group. The liquid crystal display apparatus includes a first group of pixels for displaying an image and a second group of pixels for displaying an image. Each pixel of the first and second groups includes a storage capacitor for storing a data voltage. The liquid crystal display apparatus further includes a first storage common voltage line connected to storage capacitors of the pixels of the first group of pixels, a second storage common voltage line connected to storage capacitors of the pixels of the second group of pixels. A first storage common voltage is supplied to the pixels of the first group through the first storage common voltage line, and a second storage common voltage is supplied to the pixels of the second group through the second storage common voltage line.