The public service broadcaster committed a "significant breach" of broadcasting rules by failing to disclose that the presenter of a programme about the Gaza conflict was the offspring of a Hamas administrator, as ruled by regulatory body Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has concluded that the programme was "materially misleading".
The chief executive of the broadcaster had already issued an apology, saying there had been "a major oversight in relation to truthfulness".
Ofcom has directed the broadcaster to transmit a peak-time statement about its decisions.
"Since this amounts to a serious breach of our code, we are directing the BBC to air a statement of our findings against it on the BBC's second channel at 21:00, with a date to be determined," it said.
'Possibility to Damage Trust'
The regulator's report stated: "Our investigation determined that the programme's omission to reveal that the presenter's male guardian served in a position in the Hamas-controlled administration was materially misleading.
"Consequently that the audience did not have essential details which may have been extremely pertinent to their assessment of the voice and the content he provided.
"Trust is at the heart of the bond between a television network and its viewers, particularly for a national broadcasting corporation such as the BBC.
"This failing had the possibility to damage the significantly high amounts of credibility that audiences would have put in a factual film from the broadcaster about the Gaza conflict."
The programme was removed from iPlayer in February after the presenter's personal associations emerged, and in this past July an broadcaster's internal assessment concluded it infringed the organization's journalistic standards on factual correctness.
A representative for the broadcaster said: "The authority's determination is in agreement with the conclusions of the corporation's inquiry, that there was a significant failing in the documentary in relation to the corporation's content standards on accuracy, which corresponds to regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we accept Ofcom's decision in full. We will follow the directive as soon as the timing and wording are determined."