A flexible display device includes: a shell; a flexible display panel, having a first end and a second end arranged opposite to each other; a fixed support member, fixedly connected with the first end of the flexible display panel for supporting the first end of the flexible display panel, the fixed support member being movably connected to the shell; a sliding reel, where the flexible display panel is rolled on the sliding reel, and the sliding reel is rotatably arranged in the shell; and a support member, rolled on the sliding reel and located between the sliding reel and the flexible display panel, where an end of the support member is fixedly connected with the sliding reel, an opposite end of the support member is fixedly connected with the fixed support member, and the support member is configured to support the flexible display panel when the flexible display panel is expanded.