A new method has been developed to measure the magnetic after-effect when the peak value of alternating current (a.c.) magnetization is constant. After demagnetization, an a.c. magnetic field is applied and recorded as a function of time while the peak value of magnetic induction is held constant by adjusting the amplitude of the field. The stabilization Hs and the increase of reluctivity r can be obtained from the recorded field. A cobalt-based amorphous sample has been studied using this method after longitudinal magnetic annealing. The maximum value of Hs is about 0.17 mA cm-1, and the change of r with field does not have a peak, unlike that found by traditional measurements.