The principal characteristic feature of this invention is to obtain a distribution generation system, that can realize arbitrary appearance probabilities for a plurality of conditions. The distribution generation system of this invention is constituted by a plurality of units each having a condition storage section for storing a corollary condition, and a condition transition section for updating the condition of the condition storage section. In each unit, stochastic processes per unit time for causing the condition of the condition storage section to transit to a predetermined condition are caused to approximately continue by the condition transition section, so that the corollary condition is converged to random variables having a given distribution.