The two-photon decay widths of nonstandard Higgs bosons are studied in a minimal broken-supersymmetry model. For two-Higgs-doublet models in general, a large enhancement of these widths relative to the standard model is possible. However, we find for the case studied that a severe upper bound on this possible enhancement is imposed by the supersymmetry features of the model. With only the t quark as the heaviest fermion we find a two-photon width of 100 keV for a 160-GeV/${c}^{2}$ scalar Higgs boson is possible. The corresponding width for a pseudoscalar is 60 keV.