Summary: The purpose of this paper is to study existence and approximation of solutions of system of variational inclusions involving multi-valued \(H\)-accretive and single-valued accretive operators over two different closed convex subsets of a Banach space. The convergence analysis of two proposed iteration processes for approximating solutions will be conducted within the conceptual framework of the “altering point technique” without uniform convexity of underlying spaces. This technique should provide existing or new results in solving systems of variational inequalities and variational inclusions.