  Tensor product of highest weight modules and intermediate modules for
Virasoro algebra have been studied around 1997. Since then the irreducibility
problem for tensor product of modules is open. We consider the loop-Virasoro
algebra $Vir \otimes B$, where $Vir$ is the Virasoro algebra and $B$ a
commutative associative unital algebra over $\mathbb C$. In this paper we study
the irreducibility problem for the tensor product of highest weight modules and
intermediate modules for $Vir\otimes B$. Finally we find out a necessary and
sufficient conditions for such modules to be isomorphic.
