  We propose a scenario to obtain non-trivial Yukawa coupling matrices for the
quark-lepton mass generation in supersymmetric intersecting D-brane models in
type IIA T^6/Z_2 x Z_2 orientifold. As an example, an explicit model is
constructed in which all the four generations of quarks and leptons and two
pairs of massless Higgs fields are composite. In this model non-trivial Yukawa
interactions are obtained by the interplay between the string-level higher
dimensional interactions among "preons" and the dynamics of the confinement of
"preons".
