A semiconductor memory device adapted for avoiding collision between the selection period of a word line for a refresh and the selection period of a word line for a read/write, comprises a cell array including a plurality of memory cells that require refreshing for retention of storage data and means for exercising control so that when a read/write request is input in a clock cycle following a clock cycle for performing a refresh operation, a read/write operation in the cell array is delayed by at least one clock cycle, and the read/write operation is started after completion of the refresh.