Kirkuk University Journal /Scientific Studies (KUJSS) Volume 12, Issue 4, September 2017 ISSN 1992 – 0849 Web Site: www.kujss.com Email: kirkukjoursci@yahoo.com, kirkukjoursci@gmail.com 3a\ quasi M-θ-ii-continuous functions in bi-Supra topological spaces Taha H. Jasim Reem O. Rasheed Sardar G. Amen University of Tikrit University of Tikrit Al Kitab University College of Computer College of Computer College Science and Mathematics, Science and Mathematics, Tahahameed91@gmail.com al_reem_ms@yahoo.com sardargul8293@gmail.com Abstract. In this paper , we introduces a new definition in bi-supra topological space , called M-θ- ii- open and via this definition , we introduce a new types of functions called quasi M-θ-ii-continuous functions which unifies some weak forms of quasi θ-ii- continuous functions in bi-supra topological spaces and investigate their properties. Key Words and Phrases bi-supra topological space , M-θ-ii-open set, M-θ-ii- closed set , quasi M-θ-ii-continuous.