The statement was released after the IAEA team left on a return flight to Vienna. The unusual timing - shortly after midnight in Europe - reflected the urgency that the agency attached to the communique.
Iran denies any interest in possessing nuclear weapons. It says its nuclear program is for peaceful purposes.
As pressure mounts over the program, a top Iranian general warned Tuesday that the nation would preemptively strike anyone who threatens it.
The statement by Gen. Mohammed Hejazi continued the defiant tone Tehran has taken in its confrontation with Western countries that contend it is developing nuclear weapons.
"We do not wait for enemies to take action against us," said Hejazi, according to the semiofficial Fars news agency. "We will use all our means to protect our national interests." Hejazi heads the military's logistical wing.
The United States and Israel have not ruled out strikes against Iranian nuclear facilities.
The visit by the IAEA team was the second in less than a month.
Visits to Iranian nuclear sites were not part of the IAEA trip three weeks ago.
But Monday, Iranian state radio said the U.N. team had asked to visit the Parchin military complex outside Tehran - a known conventional-arms facility that has been suspected of making secret weapons - and to meet Iranian nuclear scientists involved in the country's controversial program.
The visit came as Iran carried out air-defense war games to practice protecting nuclear and other sensitive sites.