A semiconductor memory device with an address transition detector comprises a flip-flop circuit (FF) having set and reset input terminals and a delay circuit (3). A pulse signal is input to a set input terminal (S) of the flip-flop circuit (FF) and an output signal (P) of the flip-flop circuit (FF) is input through the delay circuit (3) to a reset terminal (R) of the flip-flop circuit (FF), whereby a constant width signal which is independent of a waveform of an address signal and which responds only to the change of address can be obtained as an address transition signal of a SRAM (static random access memory). An internal circuit of the SRAM is initialized by the constant width signal, thereby preventing a malfunction caused by the fact that an initialization time depends on the waveform of the address signal.