Aiming at the requirements of high-power large-blocking ratio narrow-ring thin-tube lasers for ring aberration correction, a new ring-shaped edge-driven deformable mirror-based method for ring aberration correction is proposed herein. An adaptive optics closed-loop control system is constructed using the ring-shaped edge-driven deformable mirror to correct the wavefront of the high-power, large-blocking, thin-tube laser. A novel ring-shaped edge-driven deformable mirror is used to verify the correction ability of the proposed method for single-circular low-order aberrations, and analyze its correction effect on thin tube lasers with a large obstruction ratio. Experimental results reveal that the proposed ring aberration correction method can effectively correct the wavefront distortion of a thin tube laser with a large obstruction ratio and a narrow ring, significantly improving the beam quality.