A memory interleave system includes M (M=2.sup.p, where p is a natural number) memory banks, M memory control units (MCU) corresponding respectively to the M memory banks, N (a natural number) CPUs, and N address generating units (AGU) corresponding respectively to the N CPUs. Each memory bank includes a plurality of memories. The CPUs output memory requests, each containing a first bank address (address of the memory bank) and a first intra-bank address (address of a memory in the memory bank). Each AGU receives a memory request from a corresponding CPU, and generates and outputs a second intra-bank address and a second bank address by using the first intra bank address and the first bank address. Each memory control MCU performs memory bank access control on the basis of the second intra-bank address. An MCU performing access control is selected on the basis of the second bank address.