Quarkonium Production with the CMS Experiment

Results from studies of quarkonium production are presented from the CMS experiment at the LHC in proton-proton collisions at sqrt(s) = 7 TeV. We report measurements of the ratio of chi_c2/chi_c1 production versus transverse momentum and Upsilon(nS) production vs rapidity and transverse momentum for the 1S, 2S and 3S states. Reconstruction of Bc mesons is also presented in two decay channels.