A semiconductor memory device is provided, which can suppress current leakage generated during a programming action so that the programming action can be executed with high reliability. A flash memory of this invention has a memory array in which NAND type strings are formed. Gates of memory cells in row direction of strings are commonly connected to a word line. Gates of bit line select transistors are commonly connected to a select gate line (SGD). Gates of source line select transistors are commonly connected to a select gate line (SGS). An interval (S4) of the select gate line (SGS) and a gate of a word line (WL0) adjacent to the select gate line (SGS) is larger than an interval (S1) of the select gate line (SGD) and a gate of a word line (WL7) adjacent to the select gate line (SGD).