Abstruct-TheA-15 superconductors, specifically Nb3Sn, appear to be the best candidates for the next generation of highfield accelerator magnets. In order for these materials to be successfully employed in future magnets, a better understanding of their transport and magnetization properties must first be obtained. In this paper, a model is presented for the critical current density Jc in a granular A-15 superconductor. The model is based on previous results for Josephson-coupled arrays, and anisotropic flux pinning by grain boundaries. It is shown that, contrary to what has previously been thought, the observed field dependence of Jc can be explained without having to invoke a flux-shearing mechanism.