Provided is a liquid crystal display panel used in a curved display device and the curved display device. This belongs to the field of display technologies, and solves the technical problem of inferior display caused by inhomogeneous cell thickness that would easily occur to an existing curved display device. The liquid crystal display panel includes: an upper substrate provided with a plurality of spacers thereon; and a lower substrate provided with a plurality of bosses thereon, in one-to-one correspondence with the plurality of spacers. At least one of the plurality of spacers has a distance to a central axis of the liquid crystal display panel shorter than a distance from its corresponding boss to the central axis of the liquid crystal display panel. The liquid crystal display panel can be used in large-sized curved display devices such as liquid crystal display televisions.