Ahmed Abu Khawla said the strikes injured six fighters from his group, the Syrian Democratic Forces, an alliance of Kurdish and Arab militias battling Islamic State with the US-led coalition.
The jets came from government territory and hit positions on the eastern bank of the Euphrates river, said Khawla, who heads the Deir al-Zor military council fighting under the SDF.
The US-backed SDF and Syrian government forces, supported by Russian and Iran-allied groups, have been converging on Islamic State in separate offensives in Deir al-Zor.
A fighter of Syrian Democratic Forces (SDF) is seen in the eastern Deir al Zor, Syria September 12
Syrian government or Russian air strikes targeted US-backed Syrian militias in Deir al-Zor province at dawn on Saturday, a militia official told Reuters.