Aim The Seidel characteristic polynomials and S-integral graphs of some particular graphs will be given.Methods Some algebra and matrix theory methods are used.Results The Seidel characteristic polynomials and S-integral graphs of circuit Cn,complete graphsKnand star graphsSn are given.Conclusions It has been given not only the Seidel characteristic polynomials of Cn,Knand Sn,but also KnandSn are all S-integral graphs,only C2,C3,C4 和 C6are S-integral graphs in Cn are proved.