In computer communication network, it is assumed that blocks are served at a rate of u messages per sec. The message blocks will be stayed in the buffer during the service time. In this case, the probability density distribution of the number of message blocks in the buffer space has been studied. When the average buffer space needed is minimum, the average block size will be specified by the relation between the input data and link infromation length. This relation proves to be perfect. The random number generator for this probability distribution is designed. The test result by making use of the random number generator has shown that is has little difference from the theoretical one.