We report the observation of a narrow state decaying into J/psi
pi+ pi- and produced in 220 pb-1 of p anti-p collisions at s**(1/2) = 1.96
TeV in the CDF II experiment. We observe 730 +/- 90 decays. The mass is
measured to be 3871.3 +/- 0.7(stat) +/- 0.4(syst) MeV/c2, with an observed
width consistent with the detector resolution. This is in agreement with
the recent observation by the Belle Collaboration of the X93872) meson.