The decays of B 0 s and B 0 s mesons into the J/ψK + K − final state are studied in the K + K − mass region above the φ(1020) meson in order to determine the resonant substructure and measure the CP -violating phase, φ s , the decay width, Γ s , and the width difference between light and heavy mass eigenstates, ∆Γ s . A decay-time dependent amplitude analysis is employed. The data sample corresponds to an integrated luminosity of 3 fb −1 produced in 7 and 8 TeV pp collisions at the LHC, collected by the LHCb experiment. The measurement determines φ s = 119 ± 107 ± 34 mrad. A combination with previous LHCb measurements using similar decays into the J/ψπ + π − and J/ψφ(1020) final states gives φ s = 1 ± 37 mrad, consistent with the Standard Model prediction.