Abstract 
Given a matroid M one can define its OrlikSolomon algebra OS(M)
and the Bergman fan Σ_{0}(M). On the other hand to any rational polyhedral fan
Σ one can associate its tropical homology and cohomology groups
F_{•}(Σ), F^{•}(Σ).
We show that the projective OrlikSolomon algebra OS_{0}(M) is canonically isomorphic to
F^{•}(Σ_{0}(M)). In the realizable case this provides
a geometric interpretation of the homology of the complement of the corresponding hyperplane arrangement
in P^{n}.
