The public service broadcaster committed a "significant breach" of media regulations by not revealing that the narrator of a documentary about the Gaza situation was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The BBC's director general had earlier expressed regret, noting there had been "a serious error in relation to factual correctness".
Ofcom has ordered the corporation to air a peak-time announcement about its conclusions.
"Given this constitutes a major infringement of our code, we are instructing the corporation to air a statement of our determinations against it on BBC Two at nine o'clock in the evening, with a date to be finalised," the statement read.
'Potential to Undermine Credibility'
The regulator's statement declared: "Our probe found that the film's omission to reveal that the voice's father occupied a position in the Hamas-controlled administration was significantly deceptive.
"It meant that the audience did not have vital facts which may have been very significant to their evaluation of the presenter and the information he presented.
"Trust is at the heart of the relationship between a television network and its public, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the possibility to erode the exceptionally strong degrees of confidence that audiences would have put in a BBC factual programme about the conflict in Gaza."
The film was removed from the online platform in last February after the narrator's family links came to light, and in this past July an broadcaster's internal assessment determined it infringed the broadcaster's journalistic standards on accuracy.
A BBC spokesperson stated: "The Ofcom ruling is in line with the findings of the corporation's inquiry, that there was a serious error in the programme in relation to the corporation's content standards on accuracy, which corresponds to Rule 2.2 of the regulator's media standards.
"We have apologised for this and we accept Ofcom's decision in full. We will comply with the directive as soon as the date and language are confirmed."