The spectroscopic parameters and partial widths of the strong decay channels of the vector meson Y(4660) are calculated by treating it as a bound state of a diquark and antidiquark. The mass and coupling of the J(PC) = 1(-) tetraquark Y(4660) are evaluated in the context of the two-point sum rule method by taking into account the quark, gluon, and mixed condensates up to dimension 10. The widths of the Y(4660) resonance's strong S-wave decays to J/psi f(0) (980) and psi(2S) f(0) (980) as well as to J/psi f(0) (500) and psi(2S) f(0) (500) final states are computed. To this end, strong couplings in the relevant vertices are extracted from the QCD sum rule on the light cone supplemented by the technical methods of the soft approximation. The obtained result for the mass of the resonance m(Y) = 4677(-63)(+71) MeV, and prediction for its total width Gamma(Y) = (64.8 +/- 10.8) MeV is in nice agreements with the experimental information.