"The Syrian regime ... needs to understand that we will keep the right of self-defense of coalition forces aligned against ISIS", he said.
The missile attack came amid recent confrontations in Syria between USA -backed forces and Iranian-backed pro-government factions.
Both the US downing of the jet and Moscow's response are evidence of escalating tensions between the two powers in Syria, as in recent months Washington has shown an increased willingness to target Syrian President Bashar Assad's forces.
Marine General Joseph Dunford said there were still communications between a USA air operations center in Qatar and Russian forces on the ground in Syria, adding: "We'll work diplomatically and military in the coming hours to re-establish deconfliction".
A Syrian Army statement said the "flagrant attack" was aimed at undermining "the efforts of the army as the only effective force capable with its allies...in fighting terrorism across its territory". On June 8, USA officials reported that a drone likely connected to Iranian-supported Hezbollah forces fired on us -backed troops and was shot down by an American fighter jet.
The SDF came under attack from Syrian President Bashar al-Assad's forces around 4:30 p.m. local time.
Qatar calls allegations that it supports extremists "baseless"
Qatar is on a peninsula, sharing one land border with Saudi Arabia - which is now closed - and otherwise surrounded by the Gulf. Other U.S. officials have said Qatar has already taken some steps to reduce terror funding but that the steps are insufficient.
In recent weeks, the coalition has fired on pro-regime ground forces approaching the garrison and shot down a pro-regime armed drone.
The dispute over the Syrian attack on the US -backed fighters and the American response came as Iran launched ballistic missiles at Islamic State strongholds in eastern Syria in retaliation for a pair of attacks by extremists in Tehran earlier this month that killed 17 people.
An American F/A-18E Super Hornet shot down the Syrian SU-22 as it "dropped bombs near SDF fighters" south of the town of Tabqa, said the US-led coalition.
The Syrian pilot is believed to have ejected from the aircraft, according to a USA official.
After the incident, the Russian Defence Ministry also issued a statement. Russian Federation says it shut down a line of communication with the US that the two countries had used to not accidentally target each other in Syria.
Moscow said the United States had failed to use the communication hotline to warn them about the downing of the plane.
Ja'Din is approximately 2 kilometers north of an established deconfliction area.
"Any flying objects, including planes and drones of the worldwide coalition, discovered west of the Euphrates River will be tracked as aerial targets by Russia's air defences on and above ground", it warned. But what we are seeing is more pro-Syrian regime forces moving into areas where you have American advisors, where you have Syrian rebels.
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