An LCD device operably switchable between 2D and 3D display modes includes an active retardation panel having a plurality of retardation pixels arranged in at least M*N retardation pixel matrix with a first liquid crystal (LC) layer, and an LCD panel positioned having a plurality of display pixels arranged in at least M*N display pixel matrix with a second LC layer. Each retardation pixel has a first retardation A(i, j), and each display pixel has a second retardation B(i, j). The active retardation panel and LCD panel are arranged such that the retardation pixel matrix is positioned corresponding to the display pixel matrix, and an image displayed from each display pixel and passed through corresponding retardation pixel is simultaneously viewable by left and right eyes of a viewer and satisfies with: L(i,j)=f[A(i+1,j)+B(i,j)], and R(i,j)=f[A(i,j)+B(i,j)]. L(i, j) and R(i, j) are respectively left-eye and right-eye viewed gray levels of the image.