A semiconductor memory device includes a bit line sense amplifier for sensing and amplifying data applied on a bit line; a first driver for driving a pull-up voltage line of the bit line sense amplifier to a voltage applied on a normal driving voltage terminal; an overdriving signal generator for generating an overdriving signal defining an overdriving period in response to an active command; an overdriving control signal generator for receiving the overdriving signal to generate an overdriving control signal for selectively performing an overdriving operation according to a voltage level of an overdriving voltage; and a second driver for driving the normal driving voltage terminal to the overdriving voltage in response to the overdriving control signal.