The evolution of quasar clustering is studied in ΔCDM cosmological models, parameters of which are defined on the basis of WMAP data and from other cosmological experiments. The calculations are made under the assumption that QSO are formed in early stages of evolution of massive galaxies with masses of 10¹¹M_☉ and that quasar lifetimes are negligible as compared with the age of the Universe. It is shown that, in our model the amplitude of quasar correlation functiuon drops slowly down to z ≈ 2 and then is growing at larger values of z. Our results are qualitatively consistent with the experimental results obtained during the analysis of the 2df QSO Survey.