The notion of Neutrosophic sets naturally plays a significant role in the study of Neutrosophic topology which was introduced by A.A. Salama. Chang also studied fuzzy continuity which was proved to be of fundamental importance in the realm of Neutrosophic topology. Since then various notions in classical topology have been extended to Neutrosophic topological spaces. Aim of this paper is to initiate and examine about new type of Neutrosophic closed set called Neutrosophic α-GS closed sets and Neutrosophic α-GS open sets. Further some of their properties are discussed.