2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/10404New systematic classification of cosmological models of the present Universe is introduced. After making the comparison of these models with all existing observational data three viable models remain: the cold dark matter model with the cosmological constant (which becomes the most reasonable one if the Hubble constant $H_0>60$ km/s/Mpc); the mixed cold-hot dark matter model (models with two and especially three types of neutrinos with equal masses are in a slightly better agreement with observational data than the model with one massive neutrino); the pure cold dark matter model with a step-like initial spectrum of perturbations. The two latter models require $H_0\leq 60$ km/s/Mpc.6 pages, latex, no figuresAstrophysicsModern Cosmological Models with Dark Matter and Their Confrontation with Observational Datatext