The public service broadcaster engaged in a "serious breach" of industry standards by omitting to mention that the narrator of a film about Gaza was the offspring of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The head of the BBC had already issued an apology, saying there had been "a serious error in relation to truthfulness".
The authority has directed the BBC to air a evening statement about its decisions.
"Given this constitutes a serious breach of our regulations, we are instructing the broadcaster to air a statement of our findings against it on BBC Two at 9pm, with a date to be confirmed," it said.
'Risk to Erode Confidence'
The authority's report said: "The inquiry we conducted concluded that the documentary's failure to disclose that the presenter's father occupied a post in the Hamas-administered government was significantly deceptive.
"It meant that the viewers did not have vital facts which may have been very significant to their evaluation of the narrator and the details he provided.
"Confidence is at the heart of the connection between a broadcaster and its viewers, particularly for a national broadcasting corporation such as the public broadcaster.
"This failing had the possibility to damage the exceptionally strong degrees of credibility that the public would have placed in a BBC factual programme about the Gaza conflict."
The documentary was removed from the online platform in last February after the narrator's personal associations emerged, and in July an corporation's own inquiry found it violated the organization's content policies on accuracy.
A representative for the broadcaster said: "The regulator's decision is in agreement with the conclusions of Peter Johnston's review, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the authority's determination in its entirety. We will adhere to the directive as soon as the date and language are finalised."
