The aim of this book is to develop a new method to for non-linear analysis of space structures with high degree of freedom. The proposed theory for nonlinear analysis of high- nonlinearity structure is based on minimization of the total potential dynamic work. The minimization of the total potential dynamic work is indirect method which based on principle of convergence of energy in structures.The dynamic response analysis of non-linear system is based on the evaluation of response for a series of short time intervals using different types of time integration techniques. The dynamic problems don''t have a single solution like static counterparts. The optimization theory and techniques is used a real-valued objective function and decrease time consuming and costly. A new algorithm is proposed which converges more rapidly to the neighborhood of solution. The developed method is found to be suitable technique for minimization of total potential energy function especially in cases where the number of variables is large and the structure is highly nonlinear. The present method decreases computational time and number of iterations required per time step.