"This is a very serious issue for the international community now," Yukiya Amano, director-general of the International Atomic Energy Agency (IAEA), said in a lecture in Singapore.
"In this area, international cooperation is extremely important because terrorists always target the weak link," he said.
"The country which does not recognise the threat of terrorist sabotage or attacks on nuclear power plants or facilities is the most dangerous country," he added, without referring to any specific threats or countries.
The Islamic State group has overrun parts of Syria and Iraq since last June and declared a Muslim caliphate in those areas.
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Speaking to reporters later, Amano declined comment on the prospect of global powers and Iran reaching an agreement by the end of June on Tehran's nuclear programme.
"The IAEA has long been insisting that the solution needs to be found through dialogue. We welcome if and when the agreement is reached," Amano said.
Iran and the so-called P5+1 group -- the United States, Britain, China, France, Germany and Russia -- have been seeking a comprehensive accord that would prevent it from developing a nuclear bomb in return for an easing of economic sanctions.
Iran says its nuclear programme only has civilian aims.