However, Iran is not thought to have used ballistic missiles on a foreign target since the Iran-Iraq war.
Iran's Revolutionary Guard launched the missiles against the site in Deir al-Zour, according to the Tasnim news agency.
Iranian legislators claimed the strike was also a sign to the USA that Iran's ballistic missile program will not be deterred by sanctions.
On June 8, the USA shot down a drone that had fired on coalition forces near At Tanf.
"The missiles were launched in coordination with Syria", the IRGC official said. The IS group did not immediately acknowledge the strikes.
The Guard said the strike was "in retaliation" for June 7 attacks in Tehran that killed 17 people in the first IS-claimed operations in the country.
The IRGC launched the missiles from western provinces of Kermanshah and Kurdistan, home to Sunni Kurdish populations.
Lavrov said the mechanism worked "quite well", adding: "The Americans represented not only themselves, but the entire coalition". The missiles strikes were launched in coordination with Damascus.
This move has also effectively encircled FSA-controlled desert territory stretching to the Jordanian and Iraqi borders and close to the Tanf garrison where USA forces are based.
The downing came after the Syrian government's SU-22 jet dropped bombs near US-backed fighters combating Daesh.
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The Zolfaghar missile, unveiled in September 2016, was described at the time as carrying a cluster warhead and being able to strike as far as 700 kilometers (435 miles) away.
Sunday's strike came amid rising tensions between Riyadh and Tehran.
Back in February, the White House said it had put Iran "on notice" for test-firing a ballistic missile, taking an aggressive posture toward Tehran.
The retaliation "was just a wake-up warning to those who still can not or have not managed to decently comprehend the realities of the region and their own limits", he said.
US President Donald Trump meanwhile accuses Iran of backing terrorism - a charge it denies - and has threatened to tear up a 2015 nuclear deal between Tehran and major powers. However, it stopped short of directly blaming the kingdom for the attack, though many in the country expressed suspicion Iran's regional rival had a hand in the attack.
"The Iranian nation has chose to be powerful". Iran simply hasn't had occasion to use missiles offensively at such a range, and has focused their missile program on primarily be a retaliatory deterrent.
Tourjman went on to say that the strikes also carried a message to the sponsors of terrorism, particularly the United States government which, on the one hand, claims it is fighting terrorism, and on the other hand sponsors ISIS militants. He spoke on condition of anonymity in line with regulations.
"We are following their actions".
Izadi said Sunday's strike on Deir Ezzor, halfway between Iranian and Israeli territory, was also meant as a message to Israeli Prime Minster Benjamin Netanyahu, "who regularly threatens Iran".
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