The invention provides an OLED display structure and an OLED display screen. The OLED display structure comprises a display panel, wherein the display panel includes a display area and a non-display area, and the non-display area includes a connection area and a clearance area on both sides of the connection area; a polarizer that covers the display area; a COF circuit board assembly with a connection portion; the connecting portion that covers the connection area to be electrically connected to the display panel; a gasket that covers the clearance area; a functional component that is disposedon the polarizer, the connecting portion, and the pad.