The British broadcaster engaged in a "significant breach" of media regulations by not revealing that the voice of a programme about the Gaza situation was the offspring of a Hamas administrator, according to regulatory body Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The head of the BBC had already issued an apology, saying there had been "a significant failing in relation to accuracy".
The regulator has ordered the corporation to broadcast a prime-time statement about its findings.
"Since this amounts to a significant violation of our code, we are directing the broadcaster to air a statement of our determinations against it on BBC Two at 21:00, with a timing to be confirmed," the regulator stated.
'Possibility to Erode Confidence'
The regulator's statement said: "The inquiry we conducted determined that the documentary's failure to disclose that the presenter's male guardian served in a role in the Hamas-administered government was significantly deceptive.
"Consequently that the viewers did not have vital facts which may have been very significant to their judgment of the presenter and the information he shared.
"Credibility is at the heart of the bond between a television network and its public, notably for a public service broadcaster such as the public broadcaster.
"This failing had the possibility to undermine the exceptionally strong degrees of credibility that viewers would have placed in a BBC factual programme about the Israel-Gaza war."
The documentary was withdrawn from the BBC's streaming service in last February after the boy's familial connections were revealed, and in this past July an corporation's own inquiry found it breached the corporation's journalistic standards on accuracy.
A BBC spokesperson said: "The authority's determination is in agreement with the results of the corporation's inquiry, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which aligns with clause 2.2 of the regulator's media standards.
"We have apologised for this and we accept the authority's determination in full. We will follow the sanction as soon as the schedule and language are confirmed."