In the Monte Carlo treatment of the cylindrical multiparticle phase-sp
ace, the conditions of energy and momenta conservation can be gotten r
id of by introducing a compensated weighting factor. This compensated
weighting factor will fluctuate hugely when the number of the particle
s is sufficiently large, which makes the efficiency of the sampling to
o low to be realized on the computer. In this paper, a method is given
to eliminate the hugely fluctuated part in the compensated weighting
factor.