Based on the theory of normalization of stiffness matrix, a linear flexible platform was established. Through the stiffness matrix of flexible platform normalization process, its flexibility matrix organization was gotten, and then judged the degree of freedom and constraints of the design agencies. Then through analyzing the finite element simulation for the designed flexible platform, the results showed that the results of the finite element analysis was consistent with the calculated theoretical. This could become the reference for the design and analysis of multiple degrees of freedom linear flexible mechanism.