In this paper, the concept of almost and near compactness on neutrosophic soft topological space have been introduced along with the investigation of their several characteristics. That's shown that the neutrosophic soft continuous image of neutrosophic soft almostly compact is neutrosophic soft almostly compact and it's properties developed here.
Neutrosophic soft sets, Compactness on neutrosophic soft topological space, Neutrosophic soft continuous