The physical understanding and the numerical simulation of the characteristics of R. C. columns have been the focus of intensive efforts. Structural systems which are subjected to any kind of loads become quite difficult to analyse rigorously in their original physical forms, especially when the degree of freedom becomes so large. So in this work, the Modified Lattice Model, which was previously modified by the authors in two dimensions, is extended to the three dimensions. The reinforced concrete column under pure torsion is chosen as a material subject to check the suggested model in 3-D. The applicability of the suggested model in 3-D is examined successfully in comparison with many existing experimental data.