A memory management method and apparatus based on an access time in a multi-core system. In the memory management method of the multi-core system, it is easy to estimate the execution time of a task to be performed by a processing core and it is possible to secure the same memory access time when a task is migrated between processing cores by setting a memory allocation order according to distances from the processing cores to the memories in correspondence with the processing cores, translating a logical address to be processed by one of the processing cores according to the set memory allocation order into a physical address of one of the memories, and allocating a memory corresponding to the translated physical address to the processing core.