The public service broadcaster was found to have committed a "serious breach" of media regulations by not revealing that the presenter of a documentary about Gaza was the child of a Hamas official, as ruled by UK media regulator Ofcom.
An inquiry by the media regulator into 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 significant failing in relation to accuracy".
Ofcom has instructed the BBC to air a peak-time announcement about its conclusions.
"As this represents a significant violation of our code, we are ordering the corporation to transmit a statement of our determinations against it on BBC2 at 21:00, with a schedule to be finalised," the regulator stated.
'Potential to Undermine Trust'
The watchdog's statement stated: "The inquiry we conducted concluded that the programme's failure to disclose that the voice's father served in a role in the Hamas-controlled authority was materially misleading.
"This implied that the public did not have essential details which may have been highly relevant to their evaluation of the narrator and the details he provided.
"Credibility is at the heart of the bond between a television network and its viewers, especially for a state-funded media outlet such as the BBC.
"This oversight had the potential to undermine the significantly high degrees of credibility that audiences would have placed in a BBC factual programme about the Gaza conflict."
The film was removed from iPlayer in the month of February after the presenter's familial connections were revealed, and in this past July an internal BBC review found it infringed the organization's journalistic standards on truthfulness.
A corporation official commented: "The authority's determination is in agreement with the conclusions of the internal assessment, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the regulator's ruling in full. We will adhere to the penalty as soon as the timing and wording are determined."
