  To extend the BLMSSM, we not only add exotic Higgs superfields
$(\Phi_{NL},\varphi_{NL})$ to make the exotic lepton heavy, but also introduce
the superfields($Y$,$Y^\prime$) having couplings with lepton and exotic lepton
at tree level. The obtained model is called as EBLMSSM, which has difference
from BLMSSM especially for the exotic slepton(lepton) and exotic
sneutrino(neutrino). We deduce the mass matrices and the needed couplings in
this model. To confine the parameter space, the Higgs boson mass $m_{h^0}$ and
the processes $h^0\rightarrow \gamma\gamma$, $h^0\rightarrow VV, V=(Z,W)$ are
studied in the EBLMSSM. With the assumed parameter space, we obtain reasonable
numerical results according to data on Higgs from ATLAS and CMS. As a cold dark
mater candidate, the relic density for the lightest mass eigenstate of $Y$ and
$Y'$ mixing is also studied.
