Abstract: Combined with skew-symmetrization condition in matrix theory, a class of stable systems with sign-skew symmetric structure is proposed, and is regarded as the objective of controller design. There are two methods to implement the design. One is called the direct method, in which the origin systems are transformed into systems with sign-skew symmetric structure by controller design and controllers simpler than backstepping for some systems can be constructed. Another is the recursive method, which is suitable for the systems with lower triangular structure, may have more parameters to tune than traditional backstepping procedure, and includes the backstepping and adaptive backstepping design procedures. An example of Lorenz systems is presented to show the effectiveness of the direct design method based on the sign-skew symmetric structure.