The purpose of this book is to sujjest new definitions of separation axioms in fuzzy bitopological spaces. We study several features of these definitions along with the existing ones. The introduce concepts are less restrictive than those of Kandil and El-Shafee[66,67] as will be found later on. Our criteria for definitions have been preserved as much as possible the relation between the corresponding separation properties for fuzzy topological space. Moreover, it will be seen that the definitions of these axioms are "good extensions" in the sence of [92] due to Lowen. All the definitions are added here, we established the relation among them also, we find the relation among general topology, general bitopology,fuzzy topology and fuzzy bitopology. In this book, we show that all of these definitions satisfy the property of Hereditary, Productive and Projective.