PACS 61.46.+w, 71.15.Mb, The structural properties, the stability and the electronic properties of various nanostructures based on the titania layer modifications (anatase and lepidocrocite) are studied using the density-functional-based tightbinding method (DFTB). The anatase nanotubes were found as the most stable nanostructure of TiO 2 . Based on the results of the calculations of the anatase nanostructures a model of their stability was developed. All anatase nanoforms are semiconductors with a direct band gap (~4.2 eV). The lepidocrocite nanotubes are semiconductors with an indirect band gap (~4.5 eV).