  Exact mathematical solution of the minimization conditions of scalar the
Higgs potential of the Finite Supersymmetric Grand Unification Theory is
proposed and extremal field configurations are found. Types of extrema are
investigated and masses of the new Higgs particles arisen after electroweak
symmetry breaking are derived analytically. The conditions for existing of
physically acceptable minimum are given. As it appears, this minimum is simple
generalization of the analogous solution in the Minimal Supersymmetric Standard
Model. Phenomenological consequences are discussed briefly.
