The public service broadcaster was found to have committed a "serious breach" of media regulations by omitting to mention that the presenter of a documentary about the Gaza situation was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The chief executive of the broadcaster had already issued an apology, stating there had been "a serious error in relation to truthfulness".
The regulator has directed the corporation to broadcast a prime-time statement about its decisions.
"As this represents a significant violation of our code, we are ordering the BBC to air a statement of our findings against it on BBC Two at nine o'clock in the evening, with a timing to be determined," the statement read.
'Possibility to Damage Credibility'
The authority's report said: "Our probe concluded that the programme's omission to reveal that the voice's male guardian occupied a position in the Hamas-controlled government was significantly deceptive.
"This implied that the audience did not have critical information which may have been extremely pertinent to their judgment of the narrator and the information he presented.
"Credibility is at the core of the connection between a media organization and its audience, especially for a national broadcasting corporation such as the public broadcaster.
"This oversight had the potential to damage the significantly high amounts of credibility that viewers would have invested in a BBC factual programme about the conflict in Gaza."
The film was pulled from iPlayer in the month of February after the presenter's familial connections were revealed, and in the month of July an corporation's own inquiry determined it breached the corporation's content policies on accuracy.
A representative for the broadcaster commented: "The regulator's decision is in agreement with the findings of Peter Johnston's review, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the regulator's ruling in full. We will comply with the penalty as soon as the timing and language are determined."