In the leading order of perturbative QCD we calculate the total and di
fferential cross sections for the hadronic production of doubly charme
d baryons Xi(cc) and Xi(cc) in different experiments. The experimenta
l evaluation of the cross sections for the J/psi + D + (D) over bar pr
oduction would allow us to decrease the uncertainty in the determinati
on of cross sections for the doubly charmed baryons due to the choice
of alpha(s) and m(c). We show that in the HERA-B and E781 experiments
with fixed tagets the suppression of the Xi(cc) and Xi(cc) production
to the yield of c (c) over bar pairs is a value of the order of 10(-6
)-10(-5), whereas at the Fermilab Tevatron and CERN-LHC colliders it i
s about 10(-4)-10(-3). In the E781 experiment the observation of Xi(cc
) and Xi(cc) is practically impossible. At the HERA-B and Tevatron fa
cilities one can expect 10(5) events with the double charm, and at LHC
one has about 10(9) events. [S0556-2821(98)02903-8].