Concepts for a virtual 3D space and a hyper-sphere are proposed and the formulaefor determining the computable nodes of the mesh are derived.Then a new optimization designmethod(’Virtual Mesh Method’or V.M.M)is developed.Three examples are given,showing thatthe method proposed is especially suitable for the optimized design of complex structures,and thatthe global approximate optimal solution can be searched with remarkably reduced computationalwork. Concepts for a virtual 3D space and a hyper-sphere are proposed and the formula for determining the computable nodes of the mesh are derived. Now a new optimization design method (’Virtual Mesh Method of VMM) is developed. Three examples are given, showing that the method proposed is particularly suitable for the optimized design of complex structures, and that the global approximate optimal solution can be searched with remarkably reduced computationalwork.