Abstract: By using the perturbation results on sums of ranges of nonlinear accretive operators of Calvert-Gupta,the authors study the suff icient condition of the existence of the solution of one kinds of nonlinear Neum ann boundary value problem in Lp(Ω)(2≤p<+∞).The equation discussed is more general than that of Gupta-Hess and the equation is discussed in more general space Lp(Ω)(2≤p<+∞)instead of L2(Ω).