The British broadcaster was found to have committed a "serious breach" of media regulations by not revealing that the narrator of a film about the Gaza situation was the child of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by Ofcom into Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a major oversight in relation to truthfulness".
Ofcom has instructed the BBC to air a peak-time statement about its decisions.
"As this represents a serious breach of our rules, we are ordering the corporation to air a message of our conclusions against it on BBC2 at nine o'clock in the evening, with a date to be finalised," the statement read.
'Potential to Erode Trust'
The authority's report said: "Our investigation found that the film's failure to disclose that the presenter's male guardian held a role in the Hamas-run government was significantly deceptive.
"This implied that the public did not have vital facts which may have been extremely pertinent to their evaluation of the voice and the details he presented.
"Trust is at the core of the connection between a television network and its audience, especially for a public service broadcaster such as the public broadcaster.
"This oversight had the potential to undermine the significantly high degrees of confidence that audiences would have put in a BBC factual programme about the Israel-Gaza war."
The programme was removed from the online platform in the month of February after the narrator's family links emerged, and in this past July an internal BBC review determined it breached the corporation's content policies on accuracy.
A representative for the broadcaster stated: "The authority's determination is in agreement with the conclusions of Peter Johnston's review, that there was a serious error in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with Ofcom's decision in its entirety. We will adhere to the directive as soon as the timing and wording are confirmed."