Quantitative Structure Activity (resp. property) Relationships (QSAR/QSPR), are two studies based on the Modeling Methods, which starts with the representation of the input data by using of molecular descriptors, so called the topological indices. A topological index is the graph invariant number calculated from a graph representing a molecule, offering an effective way to measure molecular branching, and molecular similarity. The Terminal Wiener index T W(T) of a tree T, is one of the recent topological indices, that has been put forward and investigated in several published articles. In this paper, we give theoretical results for calculating the Terminal Wiener index for some composed trees, and some examples of its results.