A computer numerical control special-shaped stone cutting machine comprises a workbench, stand columns, a cross beam, a vertical beam, a tool rest, another cross beam, a boss arranged on the vertical beam, a rotary table, a torque motor and other components. The computer numerical control special-shaped stone cutting machine breaks through the three-axis linkage mode in the past that a computer only controls the vertical beam to move left and right on the cross beams, the tool rest to move up and down on the vertical beam, and the workbench to move front and back, and realizes the four-axis linkage that the rotary motion of the tool rest, the left-and-right motion of the vertical beam on the cross beams, the up-and-down motion of the tool rest on the vertical beam and the front-and-back movement of the workbench are controlled by the same computer. By means of the processing mode, when special-shaped stones are processed, the angle of the tool rest can be adjusted according to special requirements for processing shapes, radian surfaces meeting the requirements are cut at one time, the process of manually polishing steps and installing scraps is eliminated, polishing labor intensity is mitigated, labor cost is lowered, and secondary pollution caused by manual polishing is also avoided; besides, the computer numerical control special-shaped stone cutting machine has the advantages of being easy to operate and manufacture, low in price, high in practicability and the like.