In this paper, we introduce the concept of topological Γ-semihypergroups as a generalization of topological semihypergroups and topological semigroups. Also, we present the new connection between topological Γ-semihypergroups and topological semihypergroups by a special equivalence relation. Moreover, we define and consider quotient maps and homomorphisms on topological Γ-semihypergroups.