We report on measurements of the Upsilon (1S), Upsilon (2S) and Upsilon (3S) differential cross sections (d2 sigma/dp(t) dy)_|y|<0.4, as well as on the Upsilon (1S) polarization in p anti-p collisions at s**(1/2) = 1.8 TeV using a sample of 77 +/- 3 pb-1 collected by the Collider Detector at Fermilab. The three resonances were reconstructed through the decay Upsilon --> mu+ mu-. The measured angular distribution of the muons in the Upsilon (1S) rest frame is consistent with unpolarized meson production.