  Given a matroid $M$ one can define its Orlik-Solomon algebra $OS(M)$ and the
Bergman fan $\Sigma_0(M)$. On the other hand to any rational polyhedral fan
$\Sigma$ one can associate its tropical homology and cohomology groups
$\F_\bullet(\Sigma)$, $\F^\bullet (\Sigma)$. We will show that the projective
Orlik-Solomon algebra $OS_0(M)$ is canonically isomorphic to $\F^\bullet
(\Sigma_0(M))$.
