That incident followed two others involving USA fire against pro-regime forces on the ground as they came close to the garrison.
Moscow expects "detailed" explanations from Washington after the USA on Sunday shot down a Syrian drone bomber, Russian Foreign Minister Sergey Lavrov said on Tuesday.
A lot of forces with competing aims are at close quarters in eastern Syria.
The U.S. military shot down a Syrian government warplane on Sunday, saying it had targeted an American-allied Kurdish force that is battling the extremists in their de facto capital, Raqqa.
In September 2016, US-led coalition planes targeting IS positions instead killed Syrian troops.
The Syrian army said its warplane was on a mission against IS when it came under fire, according to state television. It was nearly inevitable that at some point these opposing alliances would butt heads.
Both the administration of former President Barack Obama and Trump's have focused exclusively on defeating Islamic State, but with the militants' self-proclaimed caliphate shrinking, US-backed and Syrian-backed forces appear to be competing for territory.
"As a precautionary measure, Australian Defense Force (ADF) strike operations into Syria have temporarily ceased", Australia's Department of Defense said in a statement, adding its operations in Iraq would continue as part of the coalition".
"There has been neither a Security Council decision, nor a request from the official authorities of the Syrian Arab Republic as a sovereign state", Russia's Interfax news reported.
The incident - the first of its kind since the U.S. started fighting ISIS in Syria in 2014 - prompted Russian Federation to issue a threat to coalition aircraft flying west of the River Euphrates.
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The U.S. also has special operations forces and advisers embedded with the SDF, raising the stakes in the fight for the northern city.
Russia's deputy foreign minister, Sergei Ryabkov, said: "This strike has to be seen as a continuation of America's line to disregard the norms of worldwide law".
"My assessment is that the Assad regime is testing and probing the U.S. "red lines" there and in the badia - i.e., the southeast desert areas - and the United States is simply asserting that red line, no more", Sayigh wrote in an email.
Syria's government is not involved in the operation and is instead looking further east to the largely IS-held oil-rich province of Deir Ezzor.
"I can tell you it was an Iranian-made drone", Davis said, declining to speculate on who specifically was operating it.
Al-Tanf is a strategic point near the Syrian, Iraq and Jordanian borders.
The jihadists are under major pressure in Syria and neighbouring Iraq.
These incidents, however, are tactical, not part of any USA strategy in Syria, analysts said. Safe havens like the town of Mayadin that are already becoming distinctly unsafe for ISIS' beleaguered remnants.
The deconfliction arrangement was first established with Russia in 2015 to avoid unnecessary conflict and miscommunication in the military movements of US-led coalition and Russian forces in Syria. But those bases are isolated - and last week the Syrian regime trumpeted the arrival of its troops on the border for the first time in three years.
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