The public service broadcaster was found to have committed a "major breach" of industry standards by omitting to mention that the presenter of a film about the Gaza conflict was the child of a Hamas official, as determined by UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a serious error in relation to accuracy".
Ofcom has ordered the corporation to broadcast a evening statement about its findings.
"Given this constitutes a significant violation of our regulations, we are directing the BBC to transmit a announcement of our conclusions against it on BBC Two at 9pm, with a schedule to be confirmed," the regulator stated.
'Potential to Undermine Trust'
The regulator's report said: "Our investigation found that the documentary's omission to reveal that the voice's parent served in a post in the Hamas-administered authority was significantly deceptive.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their evaluation of the narrator and the details he provided.
"Confidence is at the core of the connection between a media organization and its audience, particularly for a national broadcasting corporation such as the public broadcaster.
"This failing had the possibility to undermine the significantly high degrees of trust that audiences would have invested in a documentary produced by the BBC about the conflict in Gaza."
The film was removed from the BBC's streaming service in February after the presenter's familial connections came to light, and in the month of July an internal BBC review concluded it breached the corporation's editorial guidelines on factual correctness.
A corporation official said: "The regulator's decision is in line with the results of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on truthfulness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we comply with Ofcom's decision in complete. We will adhere to the directive as soon as the timing and wording are determined."
