This article aims to design an innovative polishing method that can do polishing job to a complicated axial symmetric free surface. The main task of the system is to increase the precision of a middle size (diameter range from 50mm to 150mm) free surface with low precision (form error is larger than 10£gm, even reach few hundred £gm. By using the developed polishing system, the precision is expected to reach and order of sub-micron. It is a machining method which able to outcome a precise free surface, and also a high efficient free surface machining method compared to machining technique nowadays. At the beginning of this article, a logical thinking method will be used to set up a number of sub-targets from the task of the article. From those sub-targets, the keys of the polishing method would come out to accomplish the task. They are: 1.The machining tool is deformable and able to match up the shape of the surface of the tool to enlarge the polishing area. This will increase the efficiency of the machining method; 2.The pressure distribution between the tool and work piece is controllable to let the surface area with larger error form has larger machining rate. By accomplish the sub-targets above, a set of form error compensate strategy can be use to remove the error profile of the free surface with high efficiency. To increase the efficiency of the polishing system, the analysis of the force guide by ANSYS (a finite element analysis software) will be done to create a relation between the force applied and the pressure distribution. This will make the pressure distribution construction task easy and the efficiency of polishing will be increased. According to the machining method designed above, a prototype polishing machine will be designed, and a series of experiments will be done on the designed prototype polishing machine to test the workability of the polishing method. The outcome of the experiments shows that the machine not only has good repeatability, but also has a very high machining efficiency. Besides, the machining distribution experiment shows that the machining method has ability to remove the error distribution from the free surface. It means that is able to do precision machining job to the free surface.