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A peaking structure in the J/psi phi mass spectrum near threshold is observedin B(+/-) to J/psi phi K(+/-) decays, produced in pp collisions at sqrt(s) = 7TeV collected with the CMS detector at the LHC. The data sample, selected onthe basis of the dimuon decay mode of the J/psi, corresponds to an integratedluminosity of 5.2 inverse femtobarns. Fitting the structure to an S-waverelativistic Breit-Wigner lineshape above a three-body phase-space nonresonantcomponent gives a signal statistical significance exceeding five standarddeviations. The fitted mass and width values are m = 4148.0 +- 2.4 (stat.) +-6.3 (syst.) MeV and Gamma = 28 +15 -11 (stat.) +- 19 (syst.) MeV, respectively.Evidence for an additional peaking structure at higher J/psi phi mass is alsoreported.

Observation of a peaking structure in the J/psi phi mass spectrum from B(+/-) to J/psi phi K(+/-) decays