  We investigate the spontaneous breaking of the Baryon (B) and Lepton (L)
number at the TeV scale in supersymmetric models. A simple extension of the
minimal supersymmetric standard model where B and L are spontaneously broken
local gauge symmetries is proposed. The B and L symmetry breaking scales are
defined by the supersymmetry breaking scale. By gauging B and L we understand
the absence of the baryon and lepton number violating interactions of dimension
four and five in the MSSM. Furthermore we show that even though these
symmetries are spontaneously broken there are no dangerous operators mediating
proton decay. We discuss the main properties of the spectrum, the possible
baryon number violating decays and the implications for the dark matter
candidates. In this model one can have lepton number violating signals from the
decays of the right-handed neutrinos and baryon number violating signals from
the decays of squarks and gauginos without conflict with the bounds coming from
proton decay, n-nbar oscillations and dinucleon decays.
