Sign pattern matrix is a very active research topic in combinatorial matrix theory, the origin of which lies in the study of sign-solvability of linear system. It was firstly proposed by P.A. Samuelson ([57]), and main results related it before 1995 was summarized in [8] by R. A. Brualdi and B.L.Shader. In our paper, we discuss some problems on the sign pattern matrices. In chapter 1, we introduce the history of development on the sign pattern matrices, our research problems and main results. In