This paper studys the application of Symmetric Code theory to optimization problem with constraints after the analysis of dynamic system.A dynamic optimal control problem is considered as an application.With regard to a system with no zero initial and final states conditions

General Horizontal Symmetric Code and General Vertical Symmetric Code theory is given out.After discussing one input and bi input linear system dynamic model

we propose Theorem 1

Theorem 2 and Theorem 3 to describe the property of Symmetric Code

which can automatically satisfy the final states constraints of a dynamic system.This theory offers a foundation to expend the applications of Symmetric Code theory.The initial application of Symmetric Code is of much better performance than classical Genetic Algorithms.We can also find its applications in machine learning and neural network technique.