The feature of the p-Laplace equation is that the nonlinear term is singular and the equation is quasilinear.The comparison principle and the method of upper and lower solutions were used to inspect the existence and uniqueness of solutions of this equation.The existence and uniqueness of the solutions of a class of quasilinear equations boundary value problems with singular term were proved.Through the study of the existence of solutions of an approximation problem, it is shown that the solution exists and is unique, and the solutions of the approximation problem converge to the solution of such a problem.The existence of solutions of the quasilinear equation Dirichlet problems with singular nonlinear term was also discussed.The method of upper and lower solutions was mainly used to inspect the existence of its solution, and through the proof of its approximation problems, the existence of solutions of Dirichlet linear elliptic equations was proved.The obtained solution is a weak solution.