A surface-to-surface missile was on full display as thousands gathered at the former USA compound, the first time such weaponry has been on display during the annual event.
According to Tasnim news agency, as a sign of defiance, a Ghadr ballistic missile with a range of 2,000 kilometers was put on display near the ex-US embassy in Tehran, which is now a cultural center, during Saturday's street demonstration.
Shamkhani also noted that the countries that have supported the US's anti-Iran stance over the past years were themselves at a loss.
A few months after the toppling of the US -backed government of the Shah Mohammad Reza Pahlavi, Iranian students, believing the USA embassy was being used as cover for espionage activity aimed at overthrowing the Islamic Republic, stormed the building.
Iran's commemorations took place under tight security managed by Iranian police and the Islamic Revolutionary Guard Corps.
Iranians marched in the streets of Tehran to mark the anniversary of the 1979 takeover of the United States embassy. State TV said similar celebrations were being held in other Iranian cities and towns.
Iraq forces defeat IS jihadists in town of Al-Qaim
The US-led coalition congratulated the Iraqi government and the Iraqi Security Forces (ISF) in a statement. He estimated there were 1,500-2,500 fighters left in al-Qaim and 2,000-3,000 in Albu Kamal.
State media reported that when Ali Shamkhani, secretary of the Supreme National Security Council, spoke to a rally in Tehran, he said, "All the governments confirm that the American president is a insane individual who is taking others toward the direction of suicide".
Demonstrators, mostly students, waved flags and signs, some which read "Stop Terrorism" and "Shut up Trump", to show their discontent toward the hardline stance taken by the US government.
Iranian Supreme Leader Ayatollah Ali Khamenei threatened to "shred" the pact if the United States pulls out.
Anti-Iran measures adopted by the U.S. have strengthened the Iranian nation's power, Shamkhani said on Saturday. "The enmity with America will continue and our resistance will as well".
Beyond the celebrations, some Iranians expressed hope for better relations with the United States and opposition to the orchestrated anti-American protests.
Information for this article was contributed by Ramin Mostaghim and Shashank Bengali of the Los Angeles Times and by Nasser Karimi of The Associated Press.