The present disclosure discloses a flexible OLED display including: a flexible substrate, including a first surface and a second surface opposite to each other; an organic electroluminescent component arranged on the first surface; and a photochromic component arranged on the second surface, wherein the photochromic component generates different color changes according to an intensity of an external ambient light so as to completely absorb the external ambient light. The present disclosure further discloses a manufacturing method of a flexible OLED display. The flexible OLED display and the manufacturing method thereof according to the present disclosure can eliminate the influence of the external ambient light on the display and improve the display contrast.