Later in the day, the semi-official Tasnim news agency, which has ties to the elite Revolutionary Guard, said the missile was a Qadr-F that has the same range as a Sejil.
During a rally on Saturday, Ali Shamkhani, secretary of Iran's Supreme National Security Council, criticized U.S. President Donald Trump, who has refused to re-certify the 2015 Iran nuclear deal.
Trump's administration has taken a tougher line with Iran, threatening to tear up an worldwide accord on its nuclear programme. Trump broke ranks with European allies, Russian Federation and China last month, and refused to re-certify Iran's compliance, even though Iran reaffirmed its commitment to the deal and United Nations inspectors have verified Tehran is complying with its terms.
The increasing tension between Iran and the West reached a peak last week when the US House of Representatives voted almost unanimously to impose new sanctions on Iran for its development of ballistic missiles.
The storming of the embassy in Tehran by students, months after the Islamic revolution, led to a 444-day hostage crisis and a break in diplomatic relations that continues to this day.
The former United States embassy in Tehran is now a cultural centre but stands as a symbol of a U.S. defeat for many Iranians.
In the capital city of Tehran, the rallies to mark the anniversary of the landmark move are held at the venue of the former USA embassy, which is known by Iranians as "Den of Espionage".More news: Fire extinguishers recalled after hundreds of reported failures
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Iran's commemorations took place under tight security managed by Iranian police and the Islamic Revolutionary Guard Corps.
Speaking about the students who stormed the USA embassy, Iran's former chief delegate to the United Nations, Rajaie-Khorassani said, "I don't know if the intention of these boys is to prevent any movement toward the United States, but it is one of the inevitable consequences".
Supreme leader Ayatollah Ali Khamenei urged Iranians on Thursday to never forget that "America is the enemy".
The anniversary has become a day of Iranian nationalism.
Anti-Iran measures adopted by the United States have strengthened the Iranian nation's power, Shamkhani said on Saturday. He called the US the "eternal enemy" of Iran.
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.