A DRAM with a general interleaving scheme for data input/output uses a normal bank structure. The DRAM provides a high-performance without consideration of a data access pattern. In order to implement the high-performance, the DRAM includes a plurality of normal banks, at least one cache bank, which has the same data access scheme with the normal banks, for selectively storing data with a normal bank selected at a read mode and a controller for controlling the access to the cache bank and the selected normal bank when continuous read commands are occurred to the selected normal bank.