International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/482 2020 2020 Department of Mathematics, College of Science, Al-Furat University, Deir-ez-Zor, Syria Riad K. Al Al-Hamido   In this paper, a new approach of neutrosophic topological space (NA-NTS) is going to be introduced which is more general than neutrosophic topological space. Moreover, a new kind of neutrosophic sets and neutrosophic concepts in this new space is going to be created, which may makes us created a new kind in neutrosophic topology. We prove that a new approach of neutrosophic topological space is not a classical topological space. Also, a new approach of neutrosophic topological space is neither neutrosophic topological space nor neutrosophic crisp topological space. Many examples and theories are presented..   2020 2020 55 61 10.54216/IJNS.070105 https://www.americaspg.com/articleinfo/21/show/482