"A few nations — regimes like Syria and Iran — continue to sponsor terror, yet their numbers are growing fewer and they're growing more isolated from the world," he said.
"Like slavery and piracy, terrorism has no place in the modern world," said Bush.
The outgoing US leader told the UN General Assembly that it must also enforce sanctions against North Korea and Iran over their nuclear programs.
Bush said UN members must uphold resolutions "enforcing sanctions against North Korea and Iran" and stressed "we must not relent until our people our safe from this threat to civilization."
