The present disclosure provides an array substrate and liquid crystal display panel, and a driving method thereof, wherein each pixel unit of the array substrate includes a compensation circuit unit. When proceeding in the direction of scanning and when there is a scanning signal on a scanning line related to a pixel unit in the next row of a present pixel unit, the compensation circuit of the present pixel unit works on a sub electrode of the present pixel unit, such that a ratio of the voltage difference between the sub electrode and a common electrode to the voltage difference between a main electrode and the common electrode during a positive polarity inversion driving period equals a ratio of the voltage difference between the sub electrode and the common electrode to the voltage difference between the main electrode and the common electrode during a negative polarity inversion driving period. By means of the above, the liquid crystal display panel according to the present disclosure can obtain the effect of reduced color shift.