The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by failing to disclose that the voice of a programme about the Gaza conflict was the son of a Hamas administrator, as determined by UK media regulator Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had earlier expressed regret, noting there had been "a significant failing in relation to accuracy".
Ofcom has ordered the broadcaster to transmit a evening announcement about its conclusions.
"As this represents a major infringement of our rules, we are ordering the BBC to transmit a message of our findings against it on BBC2 at 21:00, with a schedule to be finalised," the statement read.
'Potential to Damage Credibility'
The regulator's report said: "The inquiry we conducted determined that the programme's lack of disclosure that the narrator's parent served in a post in the Hamas-run government was significantly deceptive.
"It meant that the audience did not have critical information which may have been very significant to their evaluation of the voice and the information he shared.
"Confidence is at the heart of the bond between a media organization and its viewers, notably for a public service broadcaster such as the public broadcaster.
"This error had the potential to erode the exceptionally strong levels of confidence that the public would have put in a BBC factual programme about the Gaza conflict."
The programme was withdrawn from the online platform in last February after the presenter's family links were revealed, and in the month of July an broadcaster's internal assessment determined it infringed the broadcaster's journalistic standards on accuracy.
A corporation official commented: "The authority's determination is in agreement with the conclusions of the corporation's inquiry, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on factual correctness, which reflects Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we accept Ofcom's decision in full. We will comply with the penalty as soon as the date and language are confirmed."
