We consider an interacting, massive theory with unbroken supersymmetry. Different from usual supersymmetry, our Fermi-Bose symmetry is discrete. As a consequence, this allows us to put all superpartners into a hidden sector, without the need to break the symmetry. In presence of extra messenger fields communicating between the visible and the hidden sector, the symmetry predicts new interactions that could be tested in future experiments. Apart from its possible relevance for the cosmological constant problem, the model could provide dark matter candidates residing in the hidden sector.