The British broadcaster was found to have committed a "major breach" of industry standards by omitting to mention that the voice of a documentary about Gaza was the offspring of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has determined that the programme was "significantly deceptive".
The head of the BBC had earlier expressed regret, noting there had been "a significant failing in relation to factual correctness".
The authority has instructed the corporation to air a peak-time announcement about its findings.
"Given this constitutes a significant violation of our code, we are instructing the broadcaster to transmit a statement of our determinations against it on BBC2 at 21:00, with a date to be confirmed," it said.
'Risk to Erode Credibility'
The regulator's announcement stated: "Our investigation determined that the programme's omission to reveal that the presenter's male guardian held a post in the Hamas-administered administration was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been extremely pertinent to their evaluation of the voice and the information he presented.
"Trust is at the core of the relationship between a media organization and its public, particularly for a national broadcasting corporation such as the BBC.
"This oversight had the risk to undermine the very considerable levels of trust that viewers would have placed in a documentary produced by the BBC about the Gaza conflict."
The film was pulled from iPlayer in last February after the presenter's family links came to light, and in this past July an broadcaster's internal assessment concluded it violated the organization's editorial guidelines on truthfulness.
A corporation official stated: "The regulator's decision is in accordance with the conclusions of the internal assessment, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept Ofcom's decision in complete. We will follow the penalty as soon as the date and language are finalised."