The public service broadcaster was found to have committed a "serious breach" of industry standards by failing to disclose that the narrator of a film about Gaza was the child of a Hamas representative, as determined by British broadcasting authority Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The head of the BBC had previously apologised, stating there had been "a significant failing in relation to factual correctness".
The regulator has instructed the corporation to broadcast a evening announcement about its decisions.
"Given this constitutes a serious breach of our code, we are ordering the broadcaster to broadcast a message of our determinations against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," it said.
'Potential to Erode Credibility'
The authority's announcement stated: "The inquiry we conducted concluded that the documentary's lack of disclosure that the presenter's father occupied a position in the Hamas-controlled administration was materially misleading.
"This implied that the audience did not have essential details which may have been very significant to their judgment of the narrator and the information he presented.
"Credibility is at the core of the connection between a media organization and its public, especially for a state-funded media outlet such as the public broadcaster.
"This failing had the potential to damage the exceptionally strong amounts of confidence that viewers would have invested in a BBC factual programme about the Israel-Gaza war."
The film was pulled from iPlayer in the month of February after the boy's familial connections were revealed, and in the month of July an corporation's own inquiry found it infringed the broadcaster's content policies on accuracy.
A BBC spokesperson said: "The Ofcom ruling is in line with the conclusions of the internal assessment, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the authority's determination in full. We will follow the sanction as soon as the timing and language are finalised."