International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3894 2020 2020 Department of Mathematics, Faculty of Science, Jadara University, Irbid 21110, Jordan Raed Raed Department of Mathematics, Faculty of Science, Jadara University, Irbid 21110, Jordan Wadei Al Al-Omeri Department of Mathematics, Faculty of Science, Jadara University, Irbid 21110, Jordan Mohammad Ali Ahmad Al Al-Qudah The main purpose of this paper is to define the notion of neutrosophic based normal and regular spaces. This study investigates and open new class and conception of generalization of classical regular and normal spaces. The hereditary and topological properties of neutrosophic based normal and regular spaces have been analyzed and investigated. It also examines neutrosophic topological subspaces, providing insights into their characteristics. Furthermore, the paper investigates neutrosophic regular spaces and demonstrates their hereditary nature, specifically focusing on R_1, R_2, R_3 and R_4. Additionally, we explain some example of a neutrosophic-regular based space X which is a neutrosophic based normal-space but it is not necessary to neutrosophic -〖T〗_1 spaces. Eventually, it is shown that under certain conditions that the images are preserved in neutrosophic based normal and regular spaces. 2025 2025 50 56 10.54216/IJNS.260406 https://www.americaspg.com/articleinfo/21/show/3894