The invention provides a flexible organic light-emitting diode display and a manufacturing method thereof; the manufacturing method comprises a polyimide thin film, a buffer layer, a switch array layer and an organic light-emitting display layer, wherein the buffer layer is positioned below the polyimide thin film; a light absorption material is doped in the initial material of the buffer layer; the light absorbing material is used for absorbing lift-off laser so as to protect switch elements, wherein the lift-off laser is used for separating the polyimide thin film from a glass substrate in aprocess, so as to obtain the flexible organic light-emitting diode display; the switch array layer is located below the buffer layer; the switch array layer comprises a plurality of switch elements;the organic light-emitting display layer is located below the switch array layer; and the organic light-emitting display layer comprises a plurality of organic light-emitting units. By virtue of the flexible organic light-emitting diode display and the manufacturing method thereof, the production cost can be lowered, and the display effect can be improved.