Abstract: The present invention relates to a method and system for generating random numbers. The method for generating random numbers comprises the following steps: (a) generating a plurality of first random number samples; (b) assigning relative priority values to each of the first random number samples, wherein a common difference exists between neighboring priority values when the relative priority values are sorted in an ascending order or in a descending order; and (c) converting the first random number samples into respective second random number samples on the basis of the relative priority values. According to the present invention, the second random number samples are those converted into mathematical expectations which can be generated from the relative priority values. The method and system of the present invention can generate a plurality of random number samples having a distribution that is closest to the theoretical mean value and variance value, or having a uniform distribution.