  Recent measurements of the Belle Collaboration of the exclusive production of
two charmonia in the $e^+e^-$ annihilation differ substantially from
theoretical predictions. Recently it was suggested that a significant part of
this discrepancy can be explained by the process $e^2e^- --> 2J/psi$ and value
for its cross-section was published. In this paper it is shown, that these
results are incorrect and the values for the cross-sections of the production
of different vector charmonia are presented.
