The public service broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the narrator of a film about the Gaza conflict was the son of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had already issued an apology, stating there had been "a serious error in relation to truthfulness".
The authority has ordered the broadcaster to air a peak-time declaration about its findings.
"Since this amounts to a major infringement of our regulations, we are ordering the corporation to broadcast a message of our determinations against it on BBC2 at 21:00, with a schedule to be finalised," it said.
'Risk to Undermine Trust'
The watchdog's statement said: "Our probe concluded that the programme's omission to reveal that the voice's parent served in a post in the Hamas-controlled administration was materially misleading.
"It meant that the public did not have essential details which may have been very significant to their evaluation of the narrator and the content he provided.
"Confidence is at the core of the relationship between a television network and its public, especially for a national broadcasting corporation such as the BBC.
"This oversight had the potential to damage the very considerable amounts of trust that viewers would have put in a documentary produced by the BBC about the Israel-Gaza war."
The film was pulled from the BBC's streaming service in last February after the narrator's familial connections were revealed, and in July an broadcaster's internal assessment found it breached the organization's journalistic standards on accuracy.
A corporation official commented: "The authority's determination is in line with the results of the internal assessment, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on accuracy, which corresponds to regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the authority's determination in full. We will comply with the directive as soon as the schedule and wording are finalised."
