The present invention provides a curved liquid crystal display panel and a display device. The curved liquid crystal display panel includes a middle region, an edge region, and has a cross-sectional structure including a first substrate, a second substrate disposed opposite to the first substrate, a liquid crystal layer disposed between the first substrate and the second substrate, a compensation layer disposed on a side of the second substrate in the middle region away from the liquid crystal layer, and compensating liquid crystal molecules filling a space between the second substrate and the compensation layer. A difference between a middle thickness of the middle region of the curved liquid crystal display panel and an edge thickness of the edge region of the curved liquid crystal display panel is less than or equal to a preset value. The present invention can improve transmittance and reduce color shift, thereby improving display effects.