The research has been made on the basis of an array of ice data for the maximums and minimums seasonal distribution of sea ice in the Northern Hemisphere. The probability range for the appearance of positive differences after the negative ones in March is greater than in September, and conversely. During the periods of minimum (March) and maximum (September) interannual changes, after positive differences with an increase in the number of differences in the group, the values of subsequent changes increase. There is an increase in the probability of a one sign occurrence interannual difference with an increase in the group of another sign previous differences. For the probability of zero differences (absence of variability), there is an increase in both the probability of zero values and the number of previous zero differences. The results indicate the presence of a stabilization mechanism in the stochastic interannual variability of the sea ice area, which is confirmed by an increase in the probability of the appearance of a one sign and the number of previous differences of another sign in the group. An increase in the probability of zero values with an increase in the number of previous zero differences confirms the presence of geographical areas in which there are no interannual changes in the area of sea ice.