A method for stabilizing a dilute peracetic acid solution containing less than about 5 wt% peracetic acid by controlling the concentration of hydrogen peroxide and the mole ratio of hydrogen peroxide to acetic acid and by introducing a stabilizer to provide sequestering activity. The method is particularly useful for the long-term stabilization of dilute peracetic acid solutions. Stabilized dilute peracetic acid solutions are also within the scope of this invention