The theory of fuzzy topological algebra has wide scope of applicability than other topological algebra theory. The reason is fuzzy can provide better result. Therefore, fuzzy topological algebra has been found in Robotics, computer, artificial intelligent, etc. In this article, the relation has been introduced between fuzzy topological ring space and induced topological ring space. The research also found the Bohr fuzzy compactification of a fuzzy topological ring depending on this relation and comparing with the Bohr compactification of topological ring. The result proved the existence of Bohr fuzzy compactification of a fuzzy topological ring. Moreover, its uniqueness determined up to fuzzy isomorphism analogous to the notion of Bohr compactification of topological ring.