The invention provides a laser edge grinding device and method. The laser edge grinding device comprises a first base, a second base, a workpiece positioning mechanism, a three-dimensional moving mechanism, a laser emitting device and a control system, wherein the workpiece positioning mechanism is mounted on the first base and comprises a theta axis, an electric rotating platform and a clamp; theelectric rotating platform is mounted on a platform of the theta axis, and the theta axis can rotate in the X-axis direction; the clamp is mounted on the electric rotating platform, and the electricrotating platform can rotate; the three-dimensional moving mechanism is mounted on the second base, and the laser emitting device is mounted on the three-dimensional moving mechanism and positioned above the clamp; a laser beam of the laser emitting device is positioned in the tangential direction of a machining plane; and the control system is connected with the workpiece positioning mechanism, the three-dimensional moving mechanism and the laser emitting device. The laser edge grinding device and method have important significance in solving the cutter edge grinding and machining treatment problems, the cutter replacement frequency is effectively reduced, the cutter utilization rate is increased, and the machining and manufacturing cost is reduced.