The discovery of new super heavy elements and its stability is an on-going researchwork in the field of nuclear physics. Various models have been used to identify and investigate the properties of super heavy elements. Alpha decay is an important tool to identify and study the properties of super heavy elements (SHEs). The study of a-decay has been used for identifying the shell closure effects including the sub shell closures by calculating the decay half-lives. In the present work, our aim is to study the alpha decay half-life time of the super heavy nuclei- Livermorium (Lv, Z=116) without deformation by using Cubic plus Yukawa plus Exponential (CYE) model by two sphere approximation. ^{[1, 2]} The half-lives for alpha decay computed using this CYE model is compared with the theoretical predictions of Moller et al. From the results obtained we foretell about the feasibility of neutron shell closure which enhances the stability of the Livermorium nucleus and its daughter Flerovium (Z=114) nucleus.