This　paper　is　concerned　with　the　initial　value　problem　for　the　non-linear　Klein-Gordon-Schrodinger　(KGS)　equations　in　R(3+1)　time-space.　By　using　viscous　approach,　the　existence　of　the　global　finite-energy　solution　is　established　for　the　nonlinear　KGS　equations　by　compactness　argument.　In　addition,　the　uniqueness　of　the　solution　is　proved　by　introducing　a　function　with　integral　form.　Crown　Copyright　(C)　2011　Published　by　Elsevier　Inc.　All　rights　reserved.