  In the framework of the four dimensional heterotic superstring with free
fermions we discuss the rank eight and/or sixteen Grand Unified String Theories
(GUST) which contain the SU(3)_H - gauge family symmetry. We explicitly
investigate the paths of the unification in the GUST with gauge symmetry G x G
= [SU(5) x U(1) x (SU(3) x U(1))_H]^2. We show that the GUSTs with the G x G
gauge group allow to make the scale of unification to be consistent with the
string scale M_SU = g_{string} * 5 * 10^17 GeV.
