According to one embodiment, a semiconductor memory device includes a memory cell array, a processing circuit, a timer, a command decoder, and a training circuit. The memory cell array includes a plurality of memory cells. The processing circuit writes data into the memory cell array. The timer sets a waiting time. The command decoder receives a command output from a memory controller. The training circuit waits until the waiting time has passed since a predetermined command is received by the command decoder and performs a process relating to determination of a correction value for a signal sent from the memory controller to the processing circuit based on reference data output from the memory controller after the waiting time has passed.