The public service broadcaster committed a "major breach" of industry standards by omitting to mention that the voice of a film about the Gaza conflict was the child of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the programme was "significantly deceptive".
The BBC's director general had already issued an apology, stating there had been "a significant failing in relation to factual correctness".
The authority has ordered the broadcaster to broadcast a evening declaration about its decisions.
"Given this constitutes a major infringement of our regulations, we are instructing the BBC to air a announcement of our findings against it on BBC Two at 21:00, with a date to be confirmed," it said.
'Risk to Erode Credibility'
The authority's announcement said: "Our investigation found that the documentary's lack of disclosure that the presenter's father held a role in the Hamas-administered government was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been very significant to their assessment of the voice and the details he presented.
"Confidence is at the center of the connection between a media organization and its audience, notably for a public service broadcaster such as the BBC.
"This failing had the potential to undermine the very considerable levels of confidence that audiences would have invested in a factual film from the broadcaster about the conflict in Gaza."
The programme was withdrawn from the BBC's streaming service in last February after the narrator's family links were revealed, and in July an internal BBC review found it breached the corporation's content policies on factual correctness.
A corporation official commented: "The authority's determination is in agreement with the results of the corporation's inquiry, that there was a major oversight in the documentary in relation to the corporation's content standards on accuracy, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we agree with the authority's determination in complete. We will comply with the sanction as soon as the timing and wording are confirmed."