The public service broadcaster was found to have committed a "major breach" of broadcasting rules by not revealing that the narrator of a film about the Gaza conflict was the child of a Hamas official, as determined by regulatory body Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the film was "significantly deceptive".
The head of the BBC had previously apologised, saying there had been "a serious error in relation to truthfulness".
The authority has directed the BBC to broadcast a peak-time announcement about its findings.
"Given this constitutes a significant violation of our regulations, we are directing the corporation to transmit a announcement of our findings against it on the BBC's second channel at 9pm, with a date to be confirmed," the statement read.
'Potential to Erode Trust'
The authority's statement declared: "Our probe concluded that the documentary's omission to reveal that the presenter's father held a role in the Hamas-run authority was materially misleading.
"This implied that the audience did not have vital facts which may have been highly relevant to their judgment of the presenter and the details he provided.
"Credibility is at the center of the connection between a broadcaster and its public, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the potential to erode the very considerable levels of confidence that audiences would have placed in a factual film from the broadcaster about the Israel-Gaza war."
The film was pulled from the online platform in the month of February after the narrator's personal associations emerged, and in July an internal BBC review concluded it breached the corporation's journalistic standards on factual correctness.
A representative for the broadcaster said: "The regulator's decision is in agreement with the conclusions of Peter Johnston's review, 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 Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with Ofcom's decision in full. We will comply with the directive as soon as the date and wording are determined."