  The Lambda baryons with a single heavy flavor which transfer the quark
polarization, have been studied both theoretically and experimentally. The Xi's
with two heavy constituents are well treated in quark-diquark model. In this
work we study the production of triply heavy baryons in the perturbative QCD
regime and calculate the fragmentation functions for Omega_ccc and Omega_bbb in
the c and b quark fragmentation, respectively. We then obtain the total
fragmentation probability and the average fragmentation parameter for each
case.
