In this paper, in Hilbert space, we introduce and study a new class of A- monotone operator generalized variational inclusions problems. Using the fixed point theorem, proves the existence and uniqueness of the solution for this class of generalized variational inclusions. And the research for this kind of variational iterative algorithm approximate solutions contains solution operator by using the technique of Amonotone mappings, and convergence of the iterative sequences generated by the algorithm.