The invention discloses a flexible display panel, a display device and a making method of the flexible display panel. A bending shaft in a bendable area of the flexible display panel extends in the first direction, and the flexible display panel comprises a support membrane and a flexible display module which is arranged on the first surface of the support membrane, wherein in the bendable area, the flexible display module comprises a plurality of crinkled parts and fixed parts, the crinkled parts and the fixed parts are sequentially arranged in the second direction in an alternated mode, thecrinkled parts extend in the first direction, the fixed parts are fixed to the first surface, and the first direction is perpendicular to the second direction. When the bendable area is in a flattenedstate, the crinkled parts are in a crinkled state, and when the bendable area is in a bending state, the crinkled parts can be flattened. According to the flexible display panel, when the flexible display module of the bendable area is divided into the crinkled parts and the fixed parts, the fixed parts are fixed to the first surface of the support membrane, and the states of the crinkled parts are changed along with the state of the bendable area, the bending stress is absorbed, the bending resistance and the tension resistance of the flexible display module are enhanced, and the service life of the flexible display panel is prolonged.