In this paper we consider the conservation laws for classical particles in AdS 4 . At first we parameterize a geodesic line and construct conserved quantities with analog of five dimensional Minkowski space-time M (2,3) .Consequently we change AdS 4 space to AdS-Beltrami space-time and write conserved quantities in the Beltrami coordinates. Finally we take a limit for small velocityẋ ≪ c and we get the conserved quantities in Lorentz-Fock space-time. And finally we give out the energy of the nonrelativistic noncosmological particle under the cosmological limit.