  Based on our idea of an alternative supersymmetrization of the
Nambu--Jona-Lasinio model for dynamical symmetry breaking, we analyze the
resulted new model with a holomorphic dimension-five operator in the
superpotential. The approach provides a new direction for modeling dynamical
symmetry breaking in a supersymmetric setting. In particular, we adopt the idea
to formulate a model that gives rise to the Minimal Supersymmetric Standard
Model as the low energy effective theory with both Higgs superfields as
composites. A renormalization group analysis is performed to establish the
phenomenological viability of the scenario, with admissible background scale
that could go down to the TeV scale. We give the Higgs mass range predicted.
