We analyze the production of triple pseudoscalar Higgs bosons in the d
ecay channel of Z --> AAA for light pseudoscalar bosons when the corre
sponding scalar boson is too heavy to be produced by Z decay. Analytic
results are obtained both at the tree level and at the one-loop level
. The branching fraction can be as large as 10(-5), which should be de
tectable at the CERN e(+)e(-) collider LEP.