  This work establishes the Anderson localization in both the spectral
exponential and the strong dynamical localization for the multi-particle
Anderson tight-binding model with correlated but strongly mixing random
external potential. The results are obtained near the lower edge of the
spectrum of the multi-particle Hamiltonian. In particular, the exponential
decay of the eigenfunctions is proved in the max-norm and the dynamical
localization in the Hilbert-Schmidt norm. The proofs need the conditional
probability distribution function of the random external stochastic processes
to obey the uniform log-H\"older continuity condition.
