The British broadcaster was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the narrator of a film about Gaza was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The head of the BBC had previously apologised, noting there had been "a significant failing in relation to truthfulness".
The authority has ordered the BBC to broadcast a peak-time declaration about its findings.
"Given this constitutes a major infringement of our code, we are directing the BBC to broadcast a announcement of our conclusions against it on BBC Two at nine o'clock in the evening, with a timing to be determined," it said.
'Risk to Undermine Credibility'
The regulator's announcement stated: "Our investigation found that the documentary's omission to reveal that the voice's male guardian served in a role in the Hamas-controlled administration was materially misleading.
"It meant that the audience did not have essential details which may have been extremely pertinent to their evaluation of the narrator and the content he provided.
"Credibility is at the core of the bond between a broadcaster and its public, especially for a public service broadcaster such as the public broadcaster.
"This oversight had the possibility to undermine the exceptionally strong levels of trust that audiences would have invested in a BBC factual programme about the conflict in Gaza."
The programme was pulled from the BBC's streaming service in February after the boy's personal associations emerged, and in this past July an corporation's own inquiry concluded it infringed the broadcaster's content policies on factual correctness.
A representative for the broadcaster said: "The regulator's decision is in line with the results of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on truthfulness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we agree with Ofcom's decision in complete. We will comply with the penalty as soon as the timing and wording are determined."