  We study the theoretical features in relation to dynamical mass generation
and symmetry breaking for the recently proposed holomorphic supersymmetric
Nambu--Jona-Lasinio model. The basic model has two different chiral superfields
(multiplets) with a strongly coupled dimension five four-superfield
interaction. In addition to the possibility of generation of Dirac mass between
the pair established earlier, we show here the new option of generation of
Majorana masses for each chiral superfield. We also give a first look at what
condition may prefer Dirac over Majorana mass, illustrating that a split in the
soft supersymmetry breaking masses is crucial. In particular, in the limit
where one of the soft masses vanish, we show that generation of the Majorana
mass is no longer an option, while the Dirac mass generation survives well. The
latter is sensitive mostly to the average of the two soft masses. The result
has positive implication on the application of the model framework towards
dynamical electroweak symmetry breaking with Higgs superfields as composites.
