  Let $(\mbox{mod} \Lambda',\mbox{mod} \Lambda,\mbox{mod} \Lambda'')$ be a
recollement of abelian categories for artin algebras $\Lambda'$, $\Lambda$ and
$\Lambda''$. Under certain conditions, we present an explicit construction of
gluing of (support) $\tau$-tilting modules in $\mbox{mod} \Lambda$ with respect
to (support) $\tau$-tilting modules in $\mbox{mod} \Lambda'$ and $\mbox{mod}
\Lambda''$ respectively; conversely, we study the construction of (support)
$\tau$-tilting modules in $\mbox{mod} \Lambda'$ and $\mbox{mod} \Lambda''$
obtained from (support) $\tau$-tilting modules in $\mbox{mod} \Lambda$.
