Let $R$ be reduce commutative ring with identity (a commutative ring such that $a^n$=0 ($a\in R$) implise $a=0$) and $Max(R)$ be the set of all maximal ideals of $R$. The $hull-kernel$ (or $Zariski$ topology) topology on $Max(R)$ is the topology obtained by taking the collection of sets $U(a) =\{m\in Max(R) : a\not\in m\}$ or arbitrary $a\in R$ as a base for the open sets. when is $Max(R)$ with $hull-kernel$ topology hausdorff space?