The purpose of this paper is to introduce and study a new class of general nonlinear variational inclusions involving \(H\)-monotone operators in Hilbert spaces. By using the associated resolvent operator, existence and uniqueness theorems of solutions for general nonlinear variational inclusion are proved and the convergence of the iterative sequence generated by the algorithm for computing the approximation solution of a general nonlinear variational inclusion is discussed under some suitable conditions. The results proposed in this paper are new and extend, improve and unify the corresponding results in recent works.