The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by omitting to mention that the voice of a film about the Gaza conflict was the child of a Hamas administrator, according to UK media regulator Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The BBC's director general had previously apologised, saying there had been "a serious error in relation to truthfulness".
Ofcom has ordered the corporation to broadcast a peak-time announcement about its conclusions.
"Given this constitutes a serious breach of our rules, we are instructing the BBC to transmit a statement of our determinations against it on the BBC's second channel at 21:00, with a timing to be finalised," the statement read.
'Potential to Erode Trust'
The watchdog's announcement said: "The inquiry we conducted determined that the programme's omission to reveal that the presenter's father served in a post in the Hamas-controlled government was significantly deceptive.
"Consequently that the public did not have vital facts which may have been highly relevant to their assessment of the presenter and the details he presented.
"Confidence is at the center of the relationship between a television network and its audience, notably for a national broadcasting corporation such as the BBC.
"This oversight had the possibility to damage the exceptionally strong levels of confidence that audiences would have put in a factual film from the broadcaster about the Gaza conflict."
The programme was removed from iPlayer in February after the presenter's familial connections came to light, and in the month of July an internal BBC review concluded it infringed the organization's journalistic standards on accuracy.
A corporation official said: "The regulator's decision is in accordance with the findings of Peter Johnston's review, that there was a major oversight in the documentary in relation to the corporation's content standards on factual correctness, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with the regulator's ruling in complete. We will follow the penalty as soon as the date and wording are confirmed."
