A semiconductor memory write method which, when writing data at a threshold voltage level in a memory cell, is configured to perform two write operations including a preliminary data write operation of writing temporary data at a threshold voltage level lower than that of the data at the threshold voltage level, and a final data write operation of additionally writing final data at the threshold voltage level, includes making at least one of a write time of the preliminary data write operation, a word-line waiting time of verify read, and a bit-line waiting time of verify read, shorter than that of the final data write operation.