The BBC committed a "serious breach" of media regulations by failing to disclose that the voice of a documentary about Gaza was the son of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The head of the BBC had already issued an apology, stating there had been "a serious error in relation to truthfulness".
Ofcom has ordered the corporation to broadcast a peak-time statement about its decisions.
"Since this amounts to a serious breach of our code, we are ordering the broadcaster to broadcast a statement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a date to be confirmed," it said.
'Risk to Erode Credibility'
The authority's announcement declared: "Our probe found that the programme's omission to reveal that the voice's parent served in a post in the Hamas-controlled government was significantly deceptive.
"It meant that the audience did not have critical information which may have been very significant to their judgment of the narrator and the details he presented.
"Confidence is at the core of the relationship between a media organization and its viewers, particularly for a national broadcasting corporation such as the BBC.
"This failing had the risk to damage the exceptionally strong levels of confidence that viewers would have put in a BBC factual programme about the Gaza conflict."
The documentary was withdrawn from the BBC's streaming service in last February after the presenter's personal associations were revealed, and in this past July an corporation's own inquiry concluded it infringed the corporation's editorial guidelines on factual correctness.
A BBC spokesperson commented: "The regulator's decision is in accordance with the findings of Peter Johnston's review, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept the regulator's ruling in full. We will comply with the directive as soon as the timing and language are confirmed."