In the simplest model of horizontal U(1) symmetry with one singlet add
ed to the supersymmetric standard model, we systematically reconstruct
quark mass matrices from the low-energy data to prove that there are
only two mass matrices found by Binetruy et at. The same U(1) symmetry
constrains the hierarchical structure of L-violating couplings, from
which we build radiative neutrino mass matrices accommodating the sola
r and hot dark matter neutrino masses and mixing. We find a few patter
ns of acceptable charged lepton and neutrino mass matrices, most of wh
ich are consistent with large tan beta similar or equal to m(t)/m(b) o
nly.