The viscosity iterative algorithm for the zero of monotone operators in convex closed Banach spaces with dual space is studied in this paper. In the reflexive real Banach spaces， the resolvent technique is discussed to obtain the viscosity approximation method for the zeros of monotone operators. The strong convergence theorems are proved under some appropriate conditions，at the same time， the approximated zero is exactly the solution of some variation inequality.The results have extended and unified some similar results of nonlinear operators.