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The tensions between the values of Hubble constant obtained from the earlyand the late Universe data pose a significant challenge to modern cosmology.Possible modifications of the flat homogeneous isotropic cosmological{\Lambda}CDM model are considered, in which the Universe contains dark energy,cold baryonic matter and dark matter. They are based on general relativity andsatisfy two requirements: (1) the value of the Hubble constant, calculated fromthe value of the Hubble parameter at the recombination by the formulas of flat{\Lambda}CDM model, should be equal to 92% of the one based on low-reshiftobservations; (2) deviations from the {\Lambda}CDM model should not lead toeffects that contradict astronomical observations and estimations obtainedthereof. The analysis showed that there are few opportunities for choice.Either we should consider DM with negative pressure -\r{ho}_{dm}c^2<<p_{dm}<0,which weakly affects the evolution of the Universe and the observedmanifestations of DM, or we should admit the mechanism of generation of newmatter, for example, by a decay of DE.

Possible modification to standard cosmological model to resolve tension with Hubble constant values