Al-Nusra accused Washington of recruiting "forces from what it calls 'the moderate opposition'... To undergo a training and rehabilitation programme run by the Central Intelligence Agency.
"A few days ago, one of these groups called Division 30 entered Syria... So Al-Nusra arrested several soldiers of this division," the group said in an online statement.
It did not specify how many rebels had been captured, or where or when the incident took place.
The Syrian Observatory for Human Rights monitoring group had reported that Al-Nusra kidnapped eight rebels from Division 30 in a village in the northern province of Aleppo late Wednesday.
In its statement, Al-Nusra accused Division 30 of being "agents of American interests and projects in the area, to fight the 'terrorist organisations,' as they (the US and its rebel allies) described it."
The jihadist group said Division 30 had coordinated with aircraft from the US-led coalition attacking jihadists in Syria to strike Al-Nusra positions.
"We warn the soldiers of this division not to proceed with the American plan... Their return to the truth and the right way will be more beneficial," the statement said.
Also today, Al-Nusra launched an offensive on Division 30 headquarters in northern Aleppo province.
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