The present invention provides an OLED package method and an OLED package structure. The method comprises steps of: providing a substrate (1) to be packaged, and a package cover plate (2); forming an inorganic protective frame (11) in a round at the edges of the substrate (1); manufacturing an OLED element (12) on the substrate (1) inside the inorganic protective frame (11); pasting a solid glue film (21) on the package cover plate (2); forming an adhesive (22) in a round on the package cover plate (2) corresponding to a location of the inorganic protective frame (11); oppositely attaching the substrate (1) and the package cover plate (2), and the substrate (1) and the package cover plate (2) are affixed together by the solid glue film (21) and the adhesive (22) to accomplish the package to the substrate (1) with the package cover plate (2).