A method for driving a liquid crystal display (LCD) panel includes: A: setting an M*M over drive (OD) table, the M*M OD table includes a grey scale value XN*a of a previous-frame image, a grey scale value XN*b of a current-frame image, and an OD value (XN*a, XN*b) corresponding to the grey scale value XN*a and the grey scale value XN*b, where a and bε[0, M], N and M are integers, and N>=2. B: regarding x′ as the grey scale value of the previous-frame image and y′ as the grey scale value of the current-frame image when the LCD panel is driven, the OD value (x′, y′) is fitted to a continuous two-dimensional surface by reference to an OD value (XN*a, XN*b) in the OD table, and the OD value (x′, y′) is correspondingly calculated according to function of the two-dimensional surface fitted and is output to the LCD panel.