We present an efficient scheme for the complete hyperentangled Bell state
analysis (HBSA) of photon system in polarization and two longitudinal momentum
degrees of freedom (DOFs). In the process of distinguishing the 64
hyperentangled Bell states in three DOFs, the weak cross-Kerr nonlinearity and
self-assisted mechanism are both utilized, which can make our scheme simple and
realizable. We also discuss the application of this complete HBSA scheme in
quantum teleportation that based on hyperentangled state in three DOFs