  In this paper we take B-L supersymmetric standard model (B-LSSM) and TeV
scale left-right symmetric model (LRSM) as two representations of the two kinds
of new physics models to study the nuclear neutrinoless double beta decays
($0\nu2\beta$) so as to see the senses onto these two kinds of models when the
decays are taken into account additionally. Within the parameter spaces allowed
by all the exist experimental data, the decay half-life of the nucleus
$^{76}$Ge and $^{136}$Xe, $T^{0\nu}_{1/2}$($^{76}$Ge, $^{136}$Xe), is precisely
calculated and the results are presented properly. Based on the numerical
results, we conclude that the room of LRSM type models for the foreseeable
future experimental observations on the decays is greater than that of B-LSSM
type models.
