The invention relates to a flexible display device and a making method thereof. The making method comprises the following steps: making a TFT structure on a flexible substrate, wherein the TFT structure includes a non-metal layer region; making a display device and a thin-film encapsulation layer on the TFT structure in turn; forming a curable material layer on the thin-film encapsulation layer, wherein the curable material layer includes a specific region, and the projection of the specific region on the flexible substrate overlaps the projection of the non-metal layer region on the flexible substrate; patterning the curable material layer to make the thickness of the specific region of the curable material layer greater than the thickness of the regions of the curable material layer other than the specific region. According to the flexible display device and the making method thereof, under the condition that the film thickness remains unchanged, the stress of a region with weak stress can be transferred to other thinner regions with strong bearing capacity around, and thus, the bending radius can be reduced.