  In the supersymmetric model with local gauged baryon and lepton
numbers(BLMSSM), the CP violating effects are considered to study the lepton
electric dipole moment(EDM). The CP violating phases in BLMSSM are more than
those in the standard model(SM) and can give large contributions. The analysis
of the EDMs for the leptons $e,\mu, \tau$ is shown in this work. It is in
favour of exploring the source of CP violation and probing the physics beyond
SM.
