The British broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the voice of a documentary about Gaza was the son of a Hamas official, as ruled by UK media regulator Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The BBC's director general had previously apologised, saying there had been "a significant failing in relation to factual correctness".
The regulator has ordered the corporation to broadcast a peak-time statement about its findings.
"Since this amounts to a significant violation of our regulations, we are instructing the corporation to broadcast a statement of our findings against it on BBC2 at 9pm, with a date to be determined," the statement read.
'Risk to Erode Credibility'
The regulator's announcement declared: "The inquiry we conducted found that the programme's lack of disclosure that the voice's father held a role in the Hamas-controlled government was materially misleading.
"It meant that the public did not have essential details which may have been extremely pertinent to their assessment of the voice and the details he provided.
"Confidence is at the heart of the relationship between a media organization and its viewers, notably for a public service broadcaster such as the BBC.
"This failing had the possibility to undermine the significantly high degrees of confidence that audiences would have placed in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from the BBC's streaming service in February after the boy's family links came to light, and in July an internal BBC review determined it breached the corporation's journalistic standards on truthfulness.
A BBC spokesperson stated: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the authority's determination in full. We will follow the sanction as soon as the schedule and language are finalised."