The public service broadcaster engaged in a "significant breach" of broadcasting rules by not revealing that the voice of a documentary about Gaza was the son of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The BBC's director general had already issued an apology, saying there had been "a serious error in relation to truthfulness".
The regulator has ordered the broadcaster to transmit a prime-time announcement about its conclusions.
"As this represents a major infringement of our rules, we are directing the BBC to broadcast a statement of our conclusions against it on BBC2 at 9pm, with a timing to be finalised," the statement read.
'Possibility to Erode Trust'
The regulator's report declared: "Our investigation concluded that the programme's failure to disclose that the presenter's male guardian occupied a role in the Hamas-run government was significantly deceptive.
"Consequently that the audience did not have vital facts which may have been very significant to their judgment of the narrator and the information he provided.
"Credibility is at the heart of the relationship between a media organization and its public, especially for a public service broadcaster such as the public broadcaster.
"This error had the possibility to undermine the very considerable amounts of credibility that viewers would have invested in a BBC factual programme about the Israel-Gaza war."
The programme was removed from the online platform in the month of February after the presenter's personal associations came to light, and in this past July an internal BBC review found it infringed the organization's content policies on factual correctness.
A BBC spokesperson said: "The authority's determination is in accordance with the results of the internal assessment, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with Ofcom's decision in its entirety. We will adhere to the directive as soon as the timing and wording are determined."