According　to　the　theory　of　multidimensional　game,　the　paper　studies　the　two-dimensional　game　of　Cournot-Bertrand　model　with　incomplete　information　and　its　equilibrium,　when　the　two　companies　have　some　of　the　old　and　the　new　alternative　products.　It　shows　that　for　the　new　and　old　products　have　no　substitute,　the　one-dimensional　static　game　of　Cournot　and　Bertrand　model　is　a　special　case　of　the　two-dimensional　static　game　model.　Also,　it　comes　to　the　conclusion　that　the　equilibrium　of　two-dimensional　static　game　is　better　than　that　of　one-dimensional　static　game　of　Cournot　and　Bertrand　model.　(C)　2011　Published　by　Elsevier　Ltd.　Selection　and/or　peer-review　under　responsibility　of　Harbin　University　of　Science　and　Technology