  We construct models with a spontaneously broken $SU(3)_F$ flavour symmetry
where three generations of Higgs multiplets transform in a flavour-triplet
representation. The models are embedded in a supersymmetric Pati-Salam GUT
framework, which includes left-right symmetry. We study the possible flavon
representations and show that a model with flavons in the decuplet
representation is able to reproduce the hierarchy structure of the quark and
lepton mass and mixing matrices. This result requires no additional structure
or fine-tunings except for an extra $Z_4$ discrete symmetry in the
superpotential.
