Summary: We introduce a generalization of Wegner’s \(n\)-orbital model for the description of randomly disordered systems by replacing his ensemble of Gaussian random matrices by an ensemble of randomly rotated matrices. We calculate the one- and two-particle Green functions and the conductivity exactly in the limit \(n \to \infty\). Our solution solves the coherent potential approximation equation of the \((n = 1)\) Anderson model for arbitrary distributed disorder. We show how the Lloyd model is included in our model.