The invention discloses a curved display module and a display device. The curved display module includes an enclosure, at least one opening, a flexible display panel and an Optical Clear Adhesive (OCA) layer. There is a first curved surface inside the enclosure. A cavity is formed within the enclosure. The at least one opening are disposed on at least one edge of the enclosure and connected to the cavity. The flexible display panel is disposed on the first curved surface in the cavity. The OCA layer is disposed within the cavity. The OCA layer directly covers the flexible display panel.