The notion of nano ideal topological space was introduced by M. Parimala [8] et al. They studied its properties and characterizations. Also they introduced the concept of nano ideal generalized closed sets in nano ideal topological spaces and investigated some of its basic properties. The aim of this paper is to introduce and study normal spaces and -regular spaces by using -closed sets and∗-open sets in nano ideal topological spaces. In addition, we define quasi - normal spaces and examine its basic properties and characterizations.