International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1365 2020 2020 Deparment of Mathematics, Bananri Amman Institute of Technology, Sathyamangalam, TN, India Mani Parimala Deparment of Mathematics, Bananri Amman Institute of Technology, Sathyamangalam, TN, India Muthusamy Karthika School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University), Patiala - 147004, Punjab, India Harish Garg College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark Saeid Jafari Mathematics, Physics, and Natural Science Division, University of New Mexico,705 Gurley Avenue, Gallup, NM 87301,India Florentin Smarandache Neutrosophic topological space is an extension of fuzzy topology. Neutrosophic topological space addresses each element’s membership, indeterminacy and non-membership grades. Dropping an axiom in the neutrosophic topological space produces a new topological space called neutrosophic supra topological space. Elements in this neutrosophic supra topology are neutrosophic sets. We established the neutrosophic αψ-supra open set in neutrosophic supra topological spaces in this paper. Also, we investigate the properties of the newly defined set. Neutrosophic αψ -supra continuity is introduced and studied subsequently. 2022 2022 47 52 10.54216/IJNS.190305 https://www.americaspg.com/articleinfo/21/show/1365