The public service broadcaster engaged in a "significant breach" of broadcasting rules by omitting to mention that the voice of a documentary about the Gaza situation was the son of a Hamas representative, as ruled by regulatory body Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The head of the BBC had already issued an apology, noting there had been "a serious error in relation to accuracy".
The authority has directed the BBC to transmit a evening announcement about its decisions.
"As this represents a serious breach of our code, we are ordering the corporation to transmit a statement of our findings against it on BBC2 at 9pm, with a timing to be finalised," it said.
'Potential to Undermine Credibility'
The regulator's announcement said: "The inquiry we conducted found that the documentary's failure to disclose that the narrator's father served in a post in the Hamas-controlled administration was significantly deceptive.
"This implied that the viewers did not have critical information which may have been extremely pertinent to their evaluation of the voice and the information he provided.
"Trust is at the heart of the connection between a broadcaster and its viewers, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the risk to damage the exceptionally strong degrees of trust that the public would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The programme was pulled from iPlayer in the month of February after the boy's personal associations emerged, and in this past July an broadcaster's internal assessment determined it violated the broadcaster's editorial guidelines on accuracy.
A corporation official commented: "The regulator's decision is in accordance with the results of Peter Johnston's review, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to regulation 2.2 of the regulator's media standards.
"We have apologised for this and we accept Ofcom's decision in full. We will adhere to the sanction as soon as the timing and wording are finalised."