An impulsive driving liquid crystal display and a driving method thereof are provided. The liquid crystal display comprises a liquid crystal display panel on which a plurality of data lines and a plurality of gate lines cross each other; a data driving circuit for supplying a video data voltage and a black voltage to the data lines; and a plurality of gate drive ICs for sequentially supplying a gate pulse, synchronized with the video data voltage during a first period, to adjacent gate lines, and then simultaneously supplying a gate pulse, synchronized with the black voltage during a second period, to the gate lines spaced at intervals of at least one line.