Modern Cosmological Models with Dark Matter and Their Confrontation with Observational Data

New 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.