The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by not revealing that the presenter of a film about the Gaza conflict was the child of a Hamas representative, as ruled by regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has concluded that the programme was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a serious error in relation to truthfulness".
The authority has instructed the corporation to air a peak-time announcement about its conclusions.
"Given this constitutes a serious breach of our regulations, we are ordering the corporation to broadcast a message of our conclusions against it on the BBC's second channel at 9pm, with a timing to be finalised," the regulator stated.
'Risk to Damage Trust'
The authority's announcement declared: "The inquiry we conducted concluded that the film's lack of disclosure that the presenter's father held a post in the Hamas-controlled government was materially misleading.
"This implied that the public did not have essential details which may have been extremely pertinent to their judgment of the narrator and the content he provided.
"Credibility is at the core of the connection between a media organization and its public, especially for a state-funded media outlet such as the public broadcaster.
"This oversight had the potential to damage the significantly high amounts of confidence that viewers would have invested in a BBC factual programme about the Gaza conflict."
The film was withdrawn from the online platform in February after the presenter's family links were revealed, and in July an internal BBC review found it infringed the broadcaster's content policies on truthfulness.
A BBC spokesperson commented: "The regulator's decision is in agreement with the conclusions of the corporation's inquiry, that there was a serious error in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with Ofcom's decision in complete. We will adhere to the directive as soon as the timing and wording are confirmed."
