2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94400Paper is devoted to the construction of averaging procedure of Hamiltonian structures in discrete Whitham method. The procedure is analogous to Dubrovin-Novikov procedure of averaging of local field-theoretical Poisson brackets and gives the Poisson bracket of Hydrodynamic Type starting from Poisson bracket for a discrete chain.Latex, 4 PagesExactly Solvable and Integrable Systemstext