The present invention provides a curved liquid crystal display device, which includes a curved backplane (3), a light guide plate (31) arranged on the curved backplane (3), a mold frame (2) mounted to the curved backplane (3), and a liquid crystal panel (1) bonded to the mold frame (2). The curved backplane (3) is in the form of a shell, which has two opposite inside walls that are respectively provided with a plurality of raised sections (32). The mold frame (2) includes two coupling sections (21) respectively formed at two opposite sides of a top portion thereof and a plurality of recessed grooves (22) formed in two opposite sides of a bottom portion thereof and having openings facing outward. The liquid crystal panel (1) is bonded to the coupling sections (21). The plurality of raised sections (32) are respectively received and retained in the plurality of recessed grooves (22) so as to fix the mold frame (2) to the curved backplane (3). The liquid crystal panel (1) is forced by the mold frame (2) to curve in a downward direction to have the liquid crystal panel (1) and the curved backplane (3) show identical curvatures.