  We study the radiative symmetry breaking of B-L in supersymmetric models with
inverse seesaw mechanism. We show that for a wide region of parameter space the
radiative corrections can drive the squared mass of the extra Higgs boson from
positive initial values at the GUT scale to negative values at the TeV scale,
leading to the spontaneous breaking of the B-L symmetry. We also emphasize that
in this class of models, unlike the supersymmetric B-L models with type I
seesaw, the right-handed sneutrino cannot get a non-zero vacuum expectation
value. Therefore, B-L can be radiatively broken while R-parity remains an exact
symmetry.
