Abstract: In view of the questions of intergenarational fair deployment of mineral resources,a mathematical model is built up. According to the mathematical model,the probabilities and achievement conditions of the intergenerational fair deployment of mineral resources is preliminarily analyzed. It holds that while consuming the mineral resources,the human must compensate it by certain manner and greater strength to promote the increase of its recoverable reserves. Thus,the intergenerational fair deployment of the utility of mineral resources can be achieved.