The public service broadcaster committed a "serious breach" of broadcasting rules by not revealing that the voice of a documentary about the Gaza conflict was the child of a Hamas administrator, 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 film was "significantly deceptive".
The head of the BBC had earlier expressed regret, noting there had been "a significant failing in relation to truthfulness".
The regulator has ordered the BBC to air a peak-time statement about its decisions.
"Given this constitutes a major infringement of our code, we are directing the broadcaster to air a announcement of our conclusions against it on the BBC's second channel at 21:00, with a date to be confirmed," the regulator stated.
'Potential to Damage Confidence'
The authority's statement stated: "Our investigation determined that the film's omission to reveal that the voice's parent held a position in the Hamas-run authority was substantially inaccurate.
"This implied that the public did not have vital facts which may have been highly relevant to their assessment of the voice and the content he provided.
"Credibility is at the center of the relationship between a broadcaster and its public, particularly for a national broadcasting corporation such as the public broadcaster.
"This oversight had the possibility to undermine the significantly high amounts of trust that audiences would have put in a documentary produced by the BBC about the conflict in Gaza."
The documentary was pulled from the BBC's streaming service in February after the presenter's familial connections were revealed, and in this past July an corporation's own inquiry determined it infringed the broadcaster's journalistic standards on accuracy.
A BBC spokesperson said: "The regulator's decision is in accordance with the conclusions of the corporation's inquiry, that there was a major oversight in the film in relation to the corporation's content standards on accuracy, which reflects Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the authority's determination in full. We will comply with the penalty as soon as the date and wording are determined."