  The production of $\jpsi$ at large transverse momenta ($\pt > M_\jpsi$) in
$p\bar p$ collisions is considered by including the mechanism of fragmentation.
Both contributions of fragmentation to $\jpsi$ and of fragmentation to $\chi$
states followed by radiative decay to $\jpsi$ are taken into account. The
latter is found to be dominant and larger than direct production. The overall
theoretical estimate is shown to be nearly consistent with the experimental
observation.
