It has been shown that the problem of equivalent and minimization of fuzzy Mealy machines can be resolved via their algebraic study. However, no attention has paid to study fuzzy Mealy machines topologically. This paper introduces topology on the state set of a fuzzy Mealy machine and study of various kinds of fuzzy Mealy machines viz. cyclic, retrievable, strongly connected, with exchange property and connected through this topology. In addition, various products of fuzzy Mealy machines and their relationship in regards to aforementioned kinds of fuzzy Mealy machines are also studied.