The incident closely followed Sunday's U.S. downing of a piloted Syrian army jet in the southern Raqqa countryside after it dropped bombs near US-backed forces.
On several occasions in recent weeks, warplanes of the US-led coalition have also struck pro-government forces to prevent them advancing from the Al Tanf garrison in south-eastern Syria at a spot where the country's borders join Iraq and Jordan.
It was an Iranian-made Shahed 129 and was thought to be armed and in firing range of USA troops.
The Russian diplomat said earlier on Thursday that Russia considered the downing of the Syrian Air Force Su-22 warplane by the US-led coalition as a flagrant violation of the worldwide law, the principles of sovereignty and territorial integrity of Syria, which required a thorough investigation.
"Following the Russian Ministry of Defence announcement that it would cease deconfliction efforts with Coalition aircraft operating in Syria, Australia implemented a temporary operational pause for air strike operations in Syria", the ADF said in a statement.
In another development, the U.S. military announced officially that coalition forces had killed the top cleric of so-called Islamic State (IS), Turki al-Binali, in an air strike in Syria last month.
The decision came amid increasing tension between the United States and Russian Federation, which warned it, would track coalition aircraft in Syria as potential "targets" and halted a military hotline with Washington over the incident.
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F-15 aircraft flying over Syrian territory fired on the drone after it displayed hostile intent and advanced on coalition forces. Despite the increasing number of incidents, analysts say neither Syria's regime nor Washington now wants a major confrontation.
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"The Coalition has made it clear to all parties publically and through the de-confliction line with Russian forces that the demonstrated hostile intent and actions of pro-regime forces toward Coalition and partner forces in Syria conducting legitimate counter-ISIS operations will not be tolerated", the coalition said.
"The U.S. must decide if it wants to continue to actively support its proxies in the Syria civil war".
Despite the recent violence, US officials stressed they have no plans to escalate fighting against the government of Syrian President Bashar Assad.
"They were threatening our forces on the ground", the U.S. official quoted by AFP said.
A Syrian military official in Damascus said the truce was not extended.
Fighting and bombardment meanwhile resumed early Tuesday between Syrian government forces and rebels in the southern city of Daraa and nearby areas, where a 48-hour truce had gone into effect on Saturday.
The Pentagon stated that the unmanned aerial vehicle of the Assad regime was a threat because it had weapons on board and was in close proximity to the forces of the US-led global coalition.