The British broadcaster committed a "serious breach" of broadcasting rules by failing to disclose that the voice of a programme about Gaza was the child of a Hamas representative, as determined by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, stating there had been "a significant failing in relation to truthfulness".
Ofcom has directed the corporation to air a peak-time declaration about its findings.
"Since this amounts to a major infringement of our rules, we are directing the corporation to broadcast a message of our determinations against it on BBC Two at 9pm, with a schedule to be finalised," it said.
'Risk to Damage Credibility'
The authority's statement declared: "Our probe found that the documentary's lack of disclosure that the presenter's father occupied a role in the Hamas-run government was materially misleading.
"Consequently that the audience did not have essential details which may have been highly relevant to their evaluation of the presenter and the content he shared.
"Trust is at the heart of the relationship between a television network and its viewers, especially for a national broadcasting corporation such as the public broadcaster.
"This failing had the possibility to erode the significantly high amounts of trust that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The programme was pulled from the BBC's streaming service in February after the boy's personal associations were revealed, and in July an corporation's own inquiry concluded it breached the broadcaster's editorial guidelines on truthfulness.
A corporation official commented: "The authority's determination is in line with the conclusions of the corporation's inquiry, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with the regulator's ruling in full. We will follow the directive as soon as the date and language are confirmed."