The propagation of a nonlinear wave packet of dust lattice waves sDLWd in a two-dimensional hexagonal crystal is investigated. The dispersion relation and the group velocity for DLW are found for longitudinalm and transversen propagation directions. The reductive perturbation method is used to derive a s2+1d-dimensional nonlinear Schrodinger equation sNLSEd that governs the weak lynonlinear propagationof thewavepacket. This NLSE isused toinves tigatethe modula tional instability of the packet of DLW. It is found that the instability region is different for different propagation directions.