An encapsulating structure for encapsulating a flexible OLED device includes a flexible substrate, a first flexible thin film encapsulating layer, a TFT array, an OLED device, a second flexible thin film encapsulating layer, an adhesion layer, a third flexible thin film encapsulating layer, and a polarizer layered in order. One or more barrier layers are arranged on the TFT array disposed on lateral sides of the OLED device, and the second flexible thin film encapsulating layer covers the OLED device and the one or more barrier layers. The present invention also proposes a display device having the encapsulating structure.