  We consider dynamical realization of the democratic type Yukawa coupling
matrices as the Pendelton-Ross infrared fixed points.?Such fixed points of the
Yukawa couplings become possible by introducing many Higgs fields, which are
made superheavy but one massless mode. Explicitly, we consider a strongly
coupled GUT based on $SU(5) \times SU(5)$, where rapid convergence to the
infrared fixed point generates sufficiently large mass hierarchy for quarks and
leptons. Especially, it is found that the remarkable difference between mixing
angles in the quark and lepton sectors may be explained as a simple dynamical
consequence. We also discuss a possible scenario leading to the realistic mass
spectra and mixing angles for quarks and leptons. In this scheme, the Yukawa
couplings not only for top but also for bottom appear close to their
quasi-fixed points at low energy and, therefore, $\tan \beta$ should be large.
