In this article, we establish necessary and sufficient condition on a topological Clifford semigroup to be a semilattice of topological groups. As a consequence, we show that a topological Clifford semigroup (Formula presented.) satisfies the property that for each (Formula presented.) and every (Formula presented.) there exists an element (Formula presented.) such that (Formula presented.) if and only if it is a strong semilattice of topological groups if and only if it is a semilattice of topological groups. We prove that some topological properties like (Formula presented.) regularity and completely regularity are equivalent in a semilattice of topological groups. We also prove that the quotient space of a semilattice of topological groups by a full normal Clifford subsemigroup is again a semilattice of topological groups. Finally, we establish that if (Formula presented.) is a family of semilattices of topological groups and Ni is a full normal Clifford subsemigroup of Si for all (Formula presented.) then (Formula presented.) is topologically isomorphic to (Formula presented.). © 2021 Taylor & Francis Group, LLC.