The double J/psi (DJ) production in direct photon-photon collision is inves
tigated. It is found that the J/psi production rate in this process is of t
he same order of magnitude as those of previously discussed rates, which hi
nts that the dominant J/psi inclusive production process in the direct phot
on-photon collision is still not being touched. As the DJ production proces
s has a clear distinction from the single J/psi inclusive processes in the
final states, an experimental study of it would be helpful to clarify the v
alidity of the color-singlet model.