  In this paper, we address the additivity of $n$-multiplicative isomorphisms
and $n$-multiplicative derivations on Gamma rings. We proved that, if $\M$ is a
$\Gamma$-ring satisfying the some conditions, then any $n$-multiplicative
isomorphism $\left(\varphi, \phi\right)$ of $\M$ onto an arbitrary gamma ring
is additive.
