The British broadcaster committed a "major breach" of industry standards by failing to disclose that the presenter of a programme about the Gaza conflict was the child of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the programme was "substantially inaccurate".
The head of the BBC had already issued an apology, noting there had been "a serious error in relation to truthfulness".
Ofcom has ordered the BBC to air a evening statement about its conclusions.
"Given this constitutes a significant violation of our rules, we are directing the corporation to broadcast a message of our determinations against it on BBC Two at nine o'clock in the evening, with a date to be confirmed," it said.
'Risk to Undermine Credibility'
The authority's report said: "Our investigation determined that the film's failure to disclose that the presenter's parent occupied a role in the Hamas-controlled administration was substantially inaccurate.
"It meant that the audience did not have vital facts which may have been very significant to their evaluation of the narrator and the information he presented.
"Trust is at the core of the relationship between a television network and its public, notably for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the possibility to erode the very considerable amounts of confidence that the public would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was removed from the BBC's streaming service in February after the presenter's family links were revealed, and in this past July an corporation's own inquiry concluded it breached the broadcaster's editorial guidelines on factual correctness.
A BBC spokesperson said: "The regulator's decision is in accordance with the findings of the internal assessment, that there was a serious error in the film in relation to the broadcaster's journalistic policies on factual correctness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we agree with the authority's determination in complete. We will follow the directive as soon as the timing and wording are confirmed."