An organic light emitting diode (OLED) display that includes: a display panel that displays an image; a cover window that is positioned at the outside of a display surface of the display panel; a buffer member that is positioned at a rear surface of the display panel; and a set frame that encloses a rear surface and a side surface of the display panel at a predetermined distance from the buffer member. A distance between the buffer member and the set frame increases as receding from a central portion of the display panel.