The British broadcaster engaged in a "serious breach" of media regulations by failing to disclose that the narrator of a programme about Gaza was the son of a Hamas representative, as ruled by UK media regulator Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The BBC's director general had earlier expressed regret, stating there had been "a serious error in relation to factual correctness".
Ofcom has instructed the corporation to transmit a prime-time statement about its findings.
"Given this constitutes a significant violation of our rules, we are ordering the BBC to broadcast a announcement of our conclusions against it on the BBC's second channel at 9pm, with a date to be confirmed," the regulator stated.
'Possibility to Erode Trust'
The watchdog's report stated: "Our investigation concluded that the film's failure to disclose that the presenter's male guardian served in a role in the Hamas-administered authority was substantially inaccurate.
"It meant that the public did not have vital facts which may have been extremely pertinent to their evaluation of the presenter and the information he presented.
"Confidence is at the heart of the relationship between a television network and its viewers, notably for a national broadcasting corporation such as the public broadcaster.
"This failing had the possibility to damage the exceptionally strong levels of credibility that viewers would have placed in a BBC factual programme about the Gaza conflict."
The film was withdrawn from iPlayer in February after the narrator's familial connections came to light, and in July an internal BBC review concluded it infringed the broadcaster's journalistic standards on factual correctness.
A representative for the broadcaster said: "The Ofcom ruling is in line with the findings of the internal assessment, that there was a major oversight in the film in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with Ofcom's decision in its entirety. We will follow the directive as soon as the date and wording are confirmed."