  We study $(\sigma,\tau)$-derivations of a group ring $RG$ of a finite group
$G$ over an integral domain $R$ with $1$. As an application we extend a well
known result on derivation of an integral group ring $\Bbb{Z}G$ to
$(\sigma,\tau)$-derivation on it for a finite group $G$ with some conditions on
$\sigma$ and $\tau$. In the process of the extension, a generalization of an
application of Skolem-Noether Theorem to derivation on a finite dimensional
central simple algebra has also been given for the $(\sigma,\tau)$-derivation
case.
