Abstract: Aim\ To present a new method of analytic algorithm for solving sensitivity and develop a topology optimization program based on this method Methods In topology optimization program, the analytic algorithm for solving sensitivity method was based on selecting the modulus of elasticity as the design variable, which was realized on the condition of isotropy Results The program was used to optimize a loaded plane structure and a satisfying result was obtained Conclusion The developed program (TOOP2D) can be used to optimize any loaded plane structures The method can be used with the shape optimum design method to optimize the shape and topology of structure