The complex network models have been widely used to understand mathematical characteristics of Titanium Dioxide Nanotube. Titanium Dioxide Nanotube is a well-known semiconductor and has several industrial and scientific applications. A nanostructure belong to a significant and an extensively investigated compounds in chemical science. It has been derived through engineering mechanism at the molecular scale. The most significant of these new materials are single-walled Titanium Dioxide Nanotube (SWTNT). They have remarkable electronic properties and many other unique characteristics. To compute and study topological indices of nanostructures is a respected problem in nanotechnology. Quantitative structure-property and structure-activity relationships of the single-walled Titanium Dioxide Nanotube (SWTNT) compounds necessitate expressions for the molecular topological features of these compounds. Topological indices are vital devices for investigating chemical compounds to comprehend the fundamental topology of chemical structures. Ev-degree and ve-degree based topological indices are two novel degrees based indices as of late defined in graph theory. Ev-degree and ve-degree based topological indices have been defined as corresponding to their relating partners. In this paper, we have computed topological indices based on ev-degree and ve-degree for the two dimensional lattice of three-layered single-walled Titanium Dioxide Nanotube (SWTNT). Titanium nanotube is a well-known semiconductor and has several industrial and scientific applications. A nanostructure belong to a significant and an extensively investigated compounds in chemical science. It has been derived through engineering mechanism at the molecular scale. Quantitative structure-property and structure-activity relationships of the single-walled Titanium nanotubes (SWTNT) compounds necessitate expressions for the molecular topological features of these compounds. Ev-degree and ve-degree based topological indices have been defined as corresponding to their relating partners. In this paper, we have computed topological indices based on ev-degree and ve-degree for the two dimensional lattice of three-layered single-walled Titanium nanotubes (SWTNT).