The present disclosure provides a flexible organic light emitting diode display and a manufacturing method thereof. The manufacturing method includes: a polyimide film, a buffer layer, a switch array layer, as well as an organic light emitting display layer successively located below the polyimide film in that a starting material of the buffer layer is doped with a light absorbing material. A stripping laser is configured to separate the polyimide film from a glass substrate used during manufacturing, so as to obtain a flexible organic light emitting diode display.