The public service broadcaster was found to have committed a "serious breach" of media regulations by failing to disclose that the narrator of a programme about the Gaza conflict was the offspring of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a serious error in relation to truthfulness".
The regulator has ordered the BBC to air a prime-time announcement about its decisions.
"Given this constitutes a major infringement of our rules, we are instructing the corporation to air a statement of our findings against it on BBC Two at 21:00, with a schedule to be determined," it said.
'Potential to Damage Credibility'
The watchdog's report stated: "The inquiry we conducted found that the programme's omission to reveal that the presenter's male guardian occupied a role in the Hamas-controlled administration was substantially inaccurate.
"This implied that the audience did not have critical information which may have been very significant to their judgment of the presenter and the information he presented.
"Confidence is at the center of the connection between a media organization and its public, notably for a public service broadcaster such as the public broadcaster.
"This failing had the possibility to undermine the exceptionally strong degrees of credibility that audiences would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was removed from the online platform in last February after the presenter's family links emerged, and in this past July an internal BBC review concluded it violated the organization's editorial guidelines on truthfulness.
A BBC spokesperson said: "The authority's determination is in agreement with the conclusions of Peter Johnston's review, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept Ofcom's decision in full. We will comply with the directive as soon as the date and wording are finalised."