In this speech, Kofi Annan (former UN Secretary General) is making the argument that the international community should intervene more in what seem to be the domestic affairs of various countries.
In general, the idea has been that the UN should intervene in international affairs, but not in domestic ones. But Annan argues that domestic wars generally spill over into other countries. Thus, it makes sense to stop them before they so spill over.
Annan points out that not all intervention needs to be military. He calls for more aid to countries that might start having major problems.
Finally, Annan says that intervention must be international. Individual countries must not go off on their own and intervene in the affairs of other countries.