  We analyze $B^0_d-{\bar B}^0_d$ mixing in a fully left-right supersymmetric
model. We give explicit expressions for all the chargino, gluino,
gluino-neutralino and neutralino amplitudes involved in the process. We
calculate the mass difference $\Delta m_d$ and CP asymmetry $a_{J/\psi K_s}$ in
both the constrained case (where the only flavor violation comes from the
Cabibbo-Kobayashi-Maskawa matrix) and the unconstrained case (including soft
supersymmetry breaking terms). The constrained case does not contain any new
information beyond the supergravity-inspired MSSM. In the unconstrained case,
the main contribution to $B^0_d-{\bar B}^0_d$ and the CP asymmetry is due to
either gluino diagrams, if the dominating flavor mixing arises in the down
squark sector, or chargino diagrams, if the dominant flavor mixing comes from
the up squark sector. We include numerical results and compare this analysis
with the ones performed in other models.
