­^¤åºK­n The purpose of this thesis is to propose the rules for designing a grinding system with nano-order of relative vibration. Such a system is aimed to perform the ductile-regime grinding for brittle materials. The study will examine the influence of the structure stiffness, damping, and mass of the grinding system on the relative vibration between grinding wheel and work. Accordingly, the design rules will be proposed. To analyze the relative vibration, the radial and axial models for a grinding system were built. The trends of relative vibration between grinding wheel and work were then analyzed under three kinds of vibration sources. Because of the nonlinearity of system equations, the 4th order Runge-Kutta numerical method was used to calculate the solutions. In addition, the genetic algorithm was used to search an optimum design. From the analysis, several design rules for grinding system, which can minimize the relative vibration, were proposed.