The binding energies of super heavy nuclei around the magic nucleus Z = 114, N = 184 was studied through an improved method based on Bethe and Weizsäcker method. This modification has been done by inclusion of some terms to Bethe and Weizsäcker’s initial mass formula. Since these nuclei are deformed in their ground-state, surface and coulomb terms are expanded as a function of deformation parameters. Also, shell effects are considered by including two more terms. Improved formula of the nuclear binding energy consists of seven unknown coefficients that are obtained using known experimental binding energies. The calculated binding energies for some super heavy nuclei are compared with the experimental data of AME 2012’s mass table as well as theoretical results of Zhongzhou Ren and Tiekuang Dong. This comparison indicates that the calculated results using the improved method are well agreed with experimental data than the theoretical results of Zhongzhou Ren and Tiekuang Dong.