We　consider　the　n-dimensional　generalized　Lienard　system　d/dt　phi(p)　[x(t)　-　Cx(t　-　tau))＇]　+　d/dt　Delta　F(x(t　-　tau))　+　del　G(x(t　-　delta(t)))　=　e(t)　driven　by　the　scalar　p-Laplacian,　C　is　an　n　x　n　symmetric　matrix　of　constants.　Using　the　degree　theory,　we　establish　some　criteria　to　guarantee　the　existence　of　periodic　solutions　for　the　above　system,　which　generalize　and　improve　on　the　corresponding　results　in　the　related　literature.　(C)　2009　Elsevier　Ltd.　All　rights　reserved.