Disclosed herein is a breaking apparatus for glass substrates. The breaking apparatus includes a breaking bar connected to a linear driver, a plurality of linear bushes longitudinally mounted on the breaking bar and each including an outer barrel, a plurality of buffer cylinders longitudinally mounted on the breaking bar, and a breaking tip extending in one direction and having a bar shape with a predetermined width. Each of the buffer cylinders includes a hollow cylinder body generating pressure therein, a piston received in the cylinder body, and a piston rod connected to the piston. The breaking tip is disposed in a longitudinal direction of the breaking bar beneath the breaking bar and connected to the piston rods and the shafts to be brought into contact with a glass substrate.