Let $X$ be an MV-algebra and let $Spec(X)$ be the set

of all prime ideals of $X$. For any ideal $I$ of $X$, denote

$S(I)=\{P\in Spec(X) : I\not \subseteq P\}$ and

$T(X)=\{S(I) : I\in {\Cal I}(X)\}$ where ${\Cal I}(X)$ is the set

of all ideals of $X$. On base of the notes [2] and [10] we prove

that the spectral space $(Spec(X), T(X))$ is a Stone space.