Ozone depletion is a major global scientific and environmental problem. One of its causes is the anthropogenic increase of CFCs in the atmosphere, which results in the enhancement of the concentration of reactive chlorine in the stratosphere. To reduce the influence of anthropogenic ozone-depleting substances, the Montreal Protocol was agreed by Governments in 1987, with several Amendments adopted later. What has been the result of the Montreal Protocol and its Amendments (MPA)? Here we present the first 3D-model assessment of the effect of the MPA on atmospheric ozone which has been performed with the University of Illinois at Urbana-Champaign (UIUC) Atmospheric Chemical Transport Model (ACTM). We find that the MPA has saved up to 2% of the present-day total ozone in the Northern Hemisphere and about 5% in the Southern Hemisphere. Our calculations also show that CFCs do not play the major role in the observed recent total ozone variations.