He said the current effort to rein in North Korea's nuclear program showed the need for agreements like the 2015 Iran deal.
Speaking to reporters in Vienna, Amano stressed that that principle "applies to all countries, including Iran".
Meanwhile, the Treasury delivered the "slap" part of the strategy, imposing sanctions on Iranian companies and individuals affiliated with the Iranian Revolutionary Guards Corps, Iranian airlines and those believed to have been involved in cyberattacks on USA banks.
"Mr. Amano, his agents and no other foreigners have the right to inspect our military sites, because these sites are among off-limit sites for any foreigner and those affiliated with them", he said.
Iran rejects that it has broken the agreement. Under something called the Additional Protocol, which Iran accepted as part of the JCPOA, inspectors can request access to undeclared sites, including military sites.
The extensions of the waivers on nuclear sanctions, first issued by the Obama administration, were accompanied by new penalties imposed against 11 Iranian people and companies accused of supporting Iran's ballistic missile program or involvement in cyber-attacks against the USA financial system.
According to Velayati, Americans are violating JCPOA.
None of the IAEA inspections could be used as an excuse for access to Iran's classified information, the top diplomat underscored.
In another, the White House elaborated.
On Thursday and in previous comments, Trump has said he is inclined not to certify Iranian compliance after having twice found it compliant at earlier deadlines. They zeroed in on one section - Section T in Annex 1 - that deals with verifying that Iran hasn't acquired "dual use" technology that could serve either a peaceful nuclear objective or weapons development. Then, the president would make clear his readiness to hit Iran with a "de-facto global economic embargo" if it failed to meet certain conditions over a 90-day period, including opening military sites to worldwide inspectors.
The sanctions were passed by Congress and go into effect unless they're waived every few months - which Trump has done previously. January 16, 2016, marks Implementation Day of the JCPOA. It was a way for members of Congress to hold Obama to account for a deal many opposed.
"Iran is clearly in defiance of these obligations", Tillerson said, pointing to its support of Syrian President Bashar Assad's government, cyber activity and testing of ballistic missiles.
Senior Iranian official Ali-Akbar Velayati says Washington's recent ban on sales of aircraft to Iran is another example of the United States' breach of promises and runs counter to the Iran nuclear deal. "Goldberg was one of the most serious players in the Iran sanctions world for years, and he still has the ear of just about everyone who matters".
Iran's negotiating partners agreed that the PMD questions could not be resolved without a visit to Parchin.
The leaked memo is the latest bid by critics of the nuclear deal to shape the White House debate on the issue after a number of hawks were forced out of the White House, including chief strategist Stephen Bannon and Derek Harvey, who served on the National Security Council.