The public service broadcaster was found to have committed a "significant breach" of media regulations by failing to disclose that the voice of a programme about Gaza was the son of a Hamas administrator, as determined by UK media regulator Ofcom.
An investigation by the media regulator into the documentary titled Gaza: How to Survive a Warzone has concluded that the programme was "materially misleading".
The head of the BBC had previously apologised, stating there had been "a serious error in relation to factual correctness".
The authority has ordered the corporation to transmit a peak-time announcement about its findings.
"Given this constitutes a major infringement of our regulations, we are directing the corporation to transmit a statement of our conclusions against it on the BBC's second channel at 9pm, with a date to be determined," it said.
'Possibility to Damage Trust'
The regulator's statement declared: "The inquiry we conducted determined that the film's omission to reveal that the narrator's father occupied a role in the Hamas-controlled government was materially misleading.
"It meant that the viewers did not have essential details which may have been extremely pertinent to their judgment of the presenter and the details he presented.
"Trust is at the center of the relationship between a television network and its viewers, notably for a state-funded media outlet such as the BBC.
"This oversight had the possibility to erode the very considerable amounts of confidence that audiences would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was pulled from iPlayer in last February after the boy's familial connections were revealed, and in the month of July an broadcaster's internal assessment found it violated the corporation's journalistic standards on factual correctness.
A BBC spokesperson stated: "The authority's determination is in line with the conclusions of the internal assessment, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with the authority's determination in full. We will comply with the penalty as soon as the date and wording are determined."
