  For the multi-particle Anderson model with correlated random potential in the
continuum, we show under fairly general assumptions on the inter-particle
interaction and the random external potential, the Anderson localization which
consists of both the spectral, exponential localization and the strong
dynamical localization. The localization results are proven near the lower
spectral edge of the almost sure spectrum and the proofs require the uniform
log-H\"older continuity assumption of the probability distribution functions of
the random field in addition of the Rosenblatt's strongly mixing condition.
