  The double Higgs boson production through $e^{+}e^-\rightarrow hhZ$ is
analyzed in the minimal supersymmetric extension of the Standard Model(SM) with
the local gauge symmetry $U(1)_{B-L}$, where $h$ denotes the lightest Higgs
boson with 125 GeV. Considering the constraints from the updated prediction
data, we find that the production cross section of this process in the model
depends on some parameters strongly.
