A laminating device and a laminating method are disclosed. The laminating device is used for laminating a flexible panel together with a curved cover plate. The curved cover plate is provided with a central area and an edge bending area located in a first direction in the central area. The laminating device comprises a movable mechanism, which is arranged opposite the curved cover plate in a second direction and comprises: a first movable base table and a second movable base table, which are arranged opposite each other in the first direction; and an elastic supporting member, which is provided with an elastic supporting portion, the elastic supporting portion covering parts of the first movable base table station and the second movable base table station that are close to the curved cover plate, and being used for fixing the flexible panel.