A memory system, a method for processing a memory access request, and a computer system are provided. The memory system includes a first memory and a second memory that are of different types and separately configured to store operating data of a processor; a memory indexing table that stores a fetch address of a data unit block located in the first memory; a buffer scheduler configured to receive a memory access request of a memory controller, determine whether the data unit block corresponding to the fetch address is stored in the first memory or the second memory, and complete a fetch operation of the memory access request in the determined memory. A memory access request may be separately completed in different type of memory, which is transparent to an operating system, does not cause page fault, and can improve a memory access speed.