The British broadcaster was found to have committed a "major breach" of industry standards by not revealing that the narrator of a film about Gaza was the child of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the programme was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, saying there had been "a major oversight in relation to factual correctness".
The authority has instructed the broadcaster to air a prime-time announcement about its conclusions.
"Given this constitutes a serious breach of our rules, we are ordering the BBC to transmit a announcement of our determinations against it on BBC Two at nine o'clock in the evening, with a timing to be determined," it said.
'Possibility to Undermine Confidence'
The watchdog's report declared: "Our investigation concluded that the documentary's failure to disclose that the narrator's father occupied a post in the Hamas-controlled administration was significantly deceptive.
"Consequently that the viewers did not have critical information which may have been highly relevant to their evaluation of the narrator and the details he provided.
"Credibility is at the heart of the relationship between a media organization and its viewers, notably for a public service broadcaster such as the BBC.
"This oversight had the possibility to undermine the exceptionally strong levels of trust that audiences would have placed in a factual film from the broadcaster about the Israel-Gaza war."
The programme was removed from the online platform in the month of February after the presenter's personal associations emerged, and in July an corporation's own inquiry found it breached the corporation's content policies on accuracy.
A BBC spokesperson said: "The authority's determination is in line with the results of Peter Johnston's review, that there was a serious error in the film in relation to the corporation's content standards on truthfulness, which corresponds to regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the regulator's ruling in its entirety. We will follow the directive as soon as the date and wording are determined."