No embedded U.S. troops were believed to have been wounded or killed in an earlier attack targeting a headquarters of the American-backed and Kurdish-led Syrian Democratic Forces, U.S. officials told Reuters on condition of anonymity.
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The SDF is an alliance of militias in northern and eastern Syria.
The U.S.-led coalition fighting Islamic State militants did not say whether any pro-Syrian fighters were killed in the retaliatory strike.
The coalition described the attack on the SDF headquarters as "unprovoked," but offered little other information in a terse statement confirming the incident.
SANA reported that the overnight strikes hit tribal fighters who back Assad in Khusham, a town in oil-rich Deir el-Zour. SANA said the local fighters were battling Islamic State militants and the SDF.
The Syrian army is backed by Iranian-backed militias and Russian forces.