The present disclosure provides a curved-surface laminating device and a curved-surface laminating method, for realizing lamination of a curved-surface cover plate and a flexible panel. The curved-surface laminating device comprises: a flexible profiling jig comprising a laminating surface with a shape matched with the curved-surface cover plate; a bearing film arranged between the laminating surface and the flexible panel and extending to two sides of the laminating surface, the bearing film being configured to be attached to the flexible panel; and a tensioning device in contact with the bearing film extending to the two sides of the laminating surface and configured to tension the bearing film, so that the bearing film and the laminating surface are profiled.