Using a density functional method we study how the correlations between particles adsorbed in neighboring pores, forming a network of slit-like pores, influence the capillary condensation and the structure of adsorbed Lennard-Jones fluid. The calculations indicate that if the distance between two pores is small enough, these correlations lead to pronounced changes in the density profiles, to an increase of the critical temperature, and to the modifications in the coexistence envelope.