Ikhbariya described the groups it said had been bombed by the USA -led coalition as "local people fighting (Islamic State) and the SDF".
Another military official, who also spoke on the condition of anonymity, said not all the attacking forces were wearing uniforms, making it more hard to identify them.
The U.S. Coalition in the Middle East stated that the Syrian regime's armed forces attacked a headquarters belonging to the Syrian Democratic Forces (SDF) east of the Euphrates River which resulted in a U.S. counter airstrike in self defense.
One US official said the pro-government forces may have been trying to seize the Khusham oil fields.
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A United States official told CNN that the attackers crossed the Euphrates River and were armed with artillery and other weapons.
Up to 100 pro-government fighters were killed, USA military officials say.
The US maintains about 2,000 troop in Syria which mostly work with the over 50,000-strong Syrian Democratic Forces, a mix of Kurdish and Arab fighters and have been the primary US-backed force fighting ISIS in Syria.
Syrian state news agency SANA, citing an army statement said its air defence units "destroyed most of" the Israeli missiles. The state Al-Ikhbariyah TV said there were reports that dozens were killed.
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The initial attack happened eight kilometers, or roughly five miles, east of the de-confliction line on the Euphrates River.
In defense of coalition and partner forces, officials said, the coalition conducted strikes against attacking forces to repel the act of aggression against partners engaged in the mission to defeat the Islamic State of Iraq and Syria.
According to the US Central Command, coalition advisers were also present at the site of the attack late on Tuesday.
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