A flexible display is disclosed. In one aspect, the flexible display includes a flexible substrate including a display area, a pad area, and a plurality of chamfer areas formed at opposing ends of the pad area. The flexible display also includes an insulating layer formed over the flexible substrate and a display unit formed over the flexible substrate in the display area. Each of the chamfer areas is adjacent to the display area in a first direction. The insulating layer formed in each of the chamfer areas includes a closed-engraved pattern having a stripe shape extending in a second direction that at least partially crosses the first direction.