Aiming at the problem of insufficient working stroke of the micro-positioning platform driven by piezoelectric actuator, a two-DOF(degree-of-freedom)micro-positioning platform based on the twolevel lever mechanism is designed. In view of physical characteristics of different flexible hinges, the differentiated hinge assembly pattern was utilized to optimize the new two-DOF micro-positioning platform to make its response speed fast and output displacement range large. Based on the Lagrange's theorem, the stiffness model and natural frequency analytical expression of the new two-DOF micropositioning platform were derived. The finite element simulation results demonstrated that the error of stiffness model of the two-DOF micro-positioning platform was extremely small, which verified the accuracy and reliability of the stiffness modeling method. The research result can provide some theoretical guidance for the configuration design and modeling analysis of flexible precision micropositioning platforms.