The public service broadcaster engaged in a "major breach" of broadcasting rules by failing to disclose that the presenter of a film about Gaza was the child of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, noting there had been "a serious error in relation to factual correctness".
The authority has directed the broadcaster to broadcast a evening announcement about its conclusions.
"Since this amounts to a serious breach of our code, we are instructing the broadcaster to air a message of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a date to be determined," it said.
'Possibility to Erode Trust'
The regulator's report stated: "Our investigation found that the documentary's lack of disclosure that the presenter's male guardian occupied a role in the Hamas-administered government was materially misleading.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their assessment of the voice and the information he presented.
"Credibility is at the heart of the connection between a broadcaster and its public, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the possibility to damage the significantly high levels of credibility that the public would have invested in a factual film from the broadcaster about the Gaza conflict."
The documentary was pulled from the BBC's streaming service in last February after the boy's personal associations emerged, and in the month of July an broadcaster's internal assessment found it infringed the broadcaster's content policies on truthfulness.
A representative for the broadcaster said: "The regulator's decision is in agreement with the results of the corporation's inquiry, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with Ofcom's decision in its entirety. We will follow the directive as soon as the timing and wording are finalised."