  Let $M$ be a closed, oriented and smooth manifold of dimension $d$. Let $\L
M$ be the space of smooth loops in $M$. Chas and Sullivan introduced loop
product, a product of degree $-d$ on the homology of $LM$. In this paper we
show how for three manifolds the ``nontriviality'' of the loop product relates
to the ``hyperbolicity'' of the underlying manifold. This is an application of
the existing powerful tool and results in three dimensional topology such as
the prime decomposition, torus decomposition, Seifert theorem, torus theorem.
