The invention discloses a structure for fixing frames and an LCD device. The structure for fixing frames includes a first frame and a second frame. The second frame is located inside of the first frame. Convex modules and countersinks are arranged in pairs on a contact surface between the first frame and the second frame. The convex modules are embedded into the countersinks for fixing the first frame and the second frame. The countersinks are blind holes. In the invention, because the frames are fixed by matching the countersinks with the convex modules and the countersinks are blind holes, no hollow structure is formed on the frame provided with the countersinks. Compared with the mounting structure having the through holes, the strength of the frames is significantly improved. When the two frames required to be installed are aligned and pressed, the convex modules is embedded into the countersinks for assembling the frames. This is a simple and efficient assembly method.