It　has　been　known　that　if　all　the　eigenvalues　of　matrix　A　have　no　zero　real　part　and　f(x)　is　a　bounded　function　which　is　small　Lipschitzian,　then　there　is　a　homeomorphism　H　of　Rn　sending　the　solutions　of　system　x′　=　Ax+f(x)　onto　the　solutions　of　its　linear　system　x′　=　Ax.　The　conditions　that　f(x)　is　a　bounded　function　and　the　eigenvalues　of　A　have　no　zero　real　part　were　deleted,　and　it　is　prove　that　if　f(x)　has　suitable　structure,　then　x′　=　Ax+f(x)　can　be　linearized.