In earlier works, the electronic structure of the graphitic nanocone for the long distance from the tip was investigated. Here, we investigate the behaviour of the given nanostructure near the tip where in our approach hybridizations of it orbitals need to be included. In this case, the curvature dependence of it orbital energy has to be included in the model. For this purpose, we use an approximation valid for small values of the corresponding parameters. We consider different numbers of the pentagonal defects in the tip. This localization of the electrons on the nanocone tip could be used as a real application in the electron microscopes, (C) 2014 Elsevier B.V. All rights reserved.