Hartman＇s　linearization　theorem　tells　us　that　if　matrix　A　has　no　zero　real　part　and　f　(x)　is　bounded　and　satisfies　Lipchitz　condition　with　small　Lipchitzian　constant,　then　there　exists　a　homeomorphism　of　R-n　sending　the　solutions　of　nonlinear　system　x＇　=　Ax　+　f　(x)　onto　the　solutions　of　linear　system　x＇　=　Ax.　In　this　paper,　some.　components　of　the　nonlinear　item　f　(x)　are　permitted　to　be　unbounded　and　we　prove　the　result　of　global　topological　linearization　without　any　special　limitation　and　adding　any　condition.　Thus,　Hartman＇s　linearization　theorem　is　improved　essentially.