The BBC was found to have committed a "major breach" of broadcasting rules by failing to disclose that the voice of a programme about the Gaza situation was the offspring of a Hamas administrator, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The chief executive of the broadcaster had previously apologised, stating there had been "a major oversight in relation to factual correctness".
Ofcom has ordered the broadcaster to broadcast a peak-time statement about its decisions.
"As this represents a major infringement of our code, we are ordering the corporation to transmit a announcement of our determinations against it on BBC2 at 21:00, with a date to be determined," it said.
'Risk to Erode Credibility'
The authority's statement stated: "The inquiry we conducted concluded that the documentary's omission to reveal that the presenter's father held a post in the Hamas-run government was materially misleading.
"Consequently that the viewers did not have essential details which may have been highly relevant to their assessment of the narrator and the details he presented.
"Trust is at the center of the connection between a media organization and its audience, especially for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to undermine the very considerable degrees of trust that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was pulled from iPlayer in February after the boy's personal associations emerged, and in the month of July an internal BBC review concluded it violated the broadcaster's content policies on truthfulness.
A representative for the broadcaster commented: "The Ofcom ruling is in accordance with the results of the internal assessment, that there was a significant failing in the film in relation to the corporation's content standards on accuracy, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with the regulator's ruling in its entirety. We will follow the directive as soon as the schedule and wording are confirmed."