Quarkonia production at CDF

In the 1992-1995 runs CDF has collected large samples of {ital J/{psi}}, {psi}(2{ital S}) and {Gamma} identified through their muonic decay. In the charmonium system all production sources have been separately measured and compared with the theoretical predictions. A large excess of direct production has been observed for both {psi}(s{ital S}) and {ital J/{psi}}. the relative production rate for the {chi}{sub c}{sup 1} and {chi}{sub c}{sup 2} has also been measured. The unexpected results have lead to a profound revisitation of the theory of the production of {ital Q{anti Q}} bound states in high energy hadronic collisions.