The British broadcaster engaged in a "major breach" of industry standards by omitting to mention that the voice of a film about the Gaza situation was the son of a Hamas representative, as ruled by UK media regulator Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The BBC's director general had previously apologised, saying there had been "a significant failing in relation to accuracy".
The regulator has directed the broadcaster to broadcast a prime-time statement about its findings.
"Given this constitutes a significant violation of our rules, we are instructing the broadcaster to transmit a message of our findings against it on the BBC's second channel at 9pm, with a schedule to be determined," the statement read.
'Possibility to Erode Credibility'
The authority's statement said: "Our probe concluded that the programme's omission to reveal that the presenter's father served in a role in the Hamas-administered government was substantially inaccurate.
"This implied that the public did not have essential details which may have been very significant to their assessment of the narrator and the information he provided.
"Confidence is at the core of the relationship between a media organization and its viewers, particularly for a national broadcasting corporation such as the BBC.
"This error had the possibility to erode the exceptionally strong levels of confidence that the public would have put in a factual film from the broadcaster about the Gaza conflict."
The film was pulled from iPlayer in last February after the presenter's familial connections emerged, and in the month of July an internal BBC review concluded it violated the broadcaster's editorial guidelines on factual correctness.
A representative for the broadcaster stated: "The authority's determination is in line with the conclusions of the internal assessment, that there was a serious error in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with the regulator's ruling in its entirety. We will adhere to the sanction as soon as the schedule and language are confirmed."