The public service broadcaster was found to have committed a "major breach" of media regulations by omitting to mention that the voice of a documentary about Gaza was the son of a Hamas administrator, according to regulatory body Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The BBC's director general had previously apologised, noting there had been "a significant failing in relation to truthfulness".
The regulator has ordered the corporation to air a prime-time declaration about its findings.
"Given this constitutes a significant violation of our regulations, we are ordering the corporation to transmit a statement of our findings against it on BBC Two at 21:00, with a timing to be determined," the statement read.
'Potential to Erode Confidence'
The regulator's report stated: "Our probe determined that the film's failure to disclose that the presenter's parent occupied a position in the Hamas-administered government was materially misleading.
"This implied that the audience did not have essential details which may have been highly relevant to their evaluation of the presenter and the details he shared.
"Credibility is at the heart of the relationship between a television network and its public, particularly for a state-funded media outlet such as the public broadcaster.
"This failing had the potential to erode the exceptionally strong amounts of trust that the public would have put in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was removed from the online platform in February after the narrator's familial connections were revealed, and in July an internal BBC review concluded it infringed the broadcaster's content policies on factual correctness.
A BBC spokesperson stated: "The Ofcom ruling is in line with the findings of Peter Johnston's review, 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 Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the regulator's ruling in complete. We will follow the directive as soon as the schedule and wording are confirmed."
