The process e+e- → ɸ → K+K- has been studied with the CMD-2 detector using about 542 000 events detected in the center-of-mass energy range from 1.01 to 1.034 GeV. The systematic error of the cross section is estimated to be 2.2%. The ɸ(1020) meson parameters in the ɸ → K+K- decay channel have been measured: σ ɸ (ɸ → K+K-) = 2016 ± 8 ± 44 nb, mɸ = 1019.441 ± 0.008 ± 0.080 MeV/c², Γ = 4.24±0.02±0.03 MeV, B(e+e-)B(K+K-) = (14.27±0.05±0.31)×10(-5).