Proposed is a flexible cover window for a flexible display, the flexible cover window including: a first window made of glass and provided on an upper part of a first surface of the flexible display; a second window made of glass and provided on an upper part of a second surface of the flexible display; and a folding part provided between the first window and the second window by corresponding to a folding area of the display and filled with a transparent resin material, wherein a transparent resin layer is provided on a total surface of each of the first window and the second window by continuing to the folding part filled with the transparent resin material, and a chamfer part is provided on each of an end part of the first window and an end part of the second window, which are adjacent to the folding part.