Provided is a liquid crystal display panel, a liquid crystal display device having the same, and a driving method thereof capable of improving image quality. The liquid crystal display device includes a liquid crystal display panel; a gate driver; and a data driver. The liquid crystal display panel includes pixel regions arranged in a matrix, each being defined by a gate line and first and second data lines crossing the gate line. The gate driver supplies a scan signal to the gate line. The data driver alternately supplies a data voltage and a common voltage to the first and second data lines.