The present disclosure provides a liquid crystal display panel and a liquid crystal display device. The liquid crystal display panel includes a first substrate and a second substrate disposed opposite to the first substrate. The first substrate includes a first common electrode and a dielectric layer. The second substrate includes a second common electrode and a pixel electrode. The dielectric layer includes at least two dielectric sub-layers in a region corresponding to each pixel unit. Dielectric constants of the at least two dielectric sub-layer are different from each other.