The concept of normal structure (introduced by Brodskii and Milman) is generally and commonly used as a condition for determining the existence of fixed points (or common fixed points) of nonexpansive maps (or commutative family of nonexpansive maps) defined on a closed, convex and bounded subset K of a reflexive Banach space X. In this paper, we show that the direct sum of metrisable topological vector space, each with normal structure, itself has normal structure. This is a generalization of the result of Belluce et al.