The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the narrator of a programme about Gaza was the child of a Hamas official, as ruled by British broadcasting authority Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, noting there had been "a significant failing in relation to truthfulness".
The authority has directed the broadcaster to transmit a evening declaration about its decisions.
"Given this constitutes a major infringement of our code, we are ordering the broadcaster to broadcast a message of our findings against it on the BBC's second channel at 21:00, with a schedule to be confirmed," it said.
'Potential to Undermine Confidence'
The authority's announcement said: "Our investigation concluded that the programme's failure to disclose that the voice's father occupied a position in the Hamas-controlled government was materially misleading.
"It meant that the viewers did not have critical information which may have been highly relevant to their judgment of the voice and the information he provided.
"Trust is at the heart of the relationship between a broadcaster and its public, notably for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the potential to erode the very considerable amounts of confidence that audiences would have invested in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from iPlayer in the month of February after the narrator's familial connections were revealed, and in July an corporation's own inquiry found it breached the corporation's content policies on truthfulness.
A corporation official commented: "The authority's determination is in agreement with the findings of the corporation's inquiry, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to Rule 2.2 of the regulator's media standards.
"We have apologised for this and we accept the regulator's ruling in its entirety. We will comply with the directive as soon as the date and wording are finalised."