A bactericidal water generating system and a method of bactericidal washing which can enhance the bactericidal capacity and washing effect of acidic electrolyzed water. An electrolyzer electrolyzes a chloride-containing aqueous electrolyte solution to generate acidic electrolyzed water, the aqueous electrolyte being pre-adjusted to pH 3 to 5 with a pH adjuster. An acidic water container is connected to the electrolyzer, and stores the acidic electrolyzed water generated by the electrolyzer. A gaseous chlorine circulator collects gaseous chlorine generated from the acidic electrolyzed water in the acidic water container, and the gaseous chlorine collected is supplied to the acidic electrolyzed water in the acidic water container by bubbling. A transition metal supply unit is provided so that a transition metal-containing solution can be supplied to the inside of the acidic water container.