The British broadcaster was found to have committed a "major breach" of industry standards by failing to disclose that the narrator of a film about the Gaza conflict was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had earlier expressed regret, stating there had been "a significant failing in relation to accuracy".
The authority has directed the BBC to transmit a evening declaration about its findings.
"Given this constitutes a serious breach of our code, we are ordering the BBC to transmit a announcement of our determinations against it on the BBC's second channel at 21:00, with a schedule to be confirmed," it said.
'Risk to Damage Confidence'
The authority's statement stated: "Our investigation determined that the documentary's lack of disclosure that the presenter's father served in a position in the Hamas-administered authority was substantially inaccurate.
"Consequently that the viewers did not have critical information which may have been highly relevant to their evaluation of the presenter and the information he presented.
"Confidence is at the heart of the relationship between a media organization and its audience, particularly for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to damage the very considerable amounts of credibility that the public would have put in a BBC factual programme about the Gaza conflict."
The programme was withdrawn from the BBC's streaming service in last February after the presenter's personal associations were revealed, and in this past July an internal BBC review determined it infringed the corporation's content policies on accuracy.
A BBC spokesperson commented: "The Ofcom ruling is in accordance with the findings of Peter Johnston's review, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to clause 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the authority's determination in full. We will adhere to the penalty as soon as the timing and wording are determined."
