We investigate the problem of the fermion mass hierarchy in supergravi
ty models with flat directions of the scalar potential associated with
some gauge singlet moduli fields, The low-energy Yukawa couplings are
non-trivial homogeneous functions of the moduli and a geometric const
raint between them plays, in a large class of models, a crucial role i
n generating hierarchies. Explicit examples are given for no-scale typ
e supergravity models. The Yukawa couplings are dynamical variables at
low energy, to be determined by a minimization process which amounts
to fixing ratios of the moduli fields. The Minimal Supersymmetric Stan
dard Model is studied and the constraints needed on the parameters in
order to have a top quark much heavier than the other fermions are wor
ked out, The bottom mass is explicitly computed and shown to be compat
ible with the experimental data for a large region of the parameter sp
ace.