  We present in this work a study of large-\pt\ charmonium production in
hadronic collisions. We work in the framework of the factorization model of
Bodwin Braaten and Lepage, thereby including the color octet production
mechanism, and extract the values of the necessary nonperturbative parameters
from a comparison with the most recent data from the Fermilab 1.8 TeV $p\bar p$
hadron collider. We extend the calculation to 630 \gev, and compare the results
with data published by the UA1 Collaboration. The global agreement is
satisfactory, indicating that the largest components of the production
mechanisms for charmonium production at high \pt\ have been isolated.
