A flexible display device and a method for driving the same are provided. The flexible display device includes a main flexible display panel and an auxiliary flexible display panel stacked on the main flexible display panel. The main and auxiliary flexible display panels includes respective pluralities of main and auxiliary pixel units spaced apart from each other. Orthographic projections of the auxiliary pixel units onto the main flexible display panel overlap with the main pixel units. The main and/or auxiliary flexible display panels can be configured such that when the flexible display device is stretched, at least a part of an orthographic projection of each main/auxiliary pixel unit is arranged between two adjacent auxiliary/main pixel units of the other flexible display panel.