The public service broadcaster engaged in a "serious breach" of broadcasting rules by failing to disclose that the voice of a documentary about the Gaza conflict was the son of a Hamas official, as ruled by regulatory body Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had previously apologised, noting there had been "a significant failing in relation to truthfulness".
Ofcom has directed the broadcaster to transmit a evening statement about its decisions.
"Since this amounts to a serious breach of our regulations, we are directing the broadcaster to air a announcement of our findings against it on BBC Two at nine o'clock in the evening, with a timing to be finalised," it said.
'Risk to Undermine Trust'
The authority's report said: "The inquiry we conducted determined that the documentary's lack of disclosure that the narrator's male guardian served in a position in the Hamas-run administration was significantly deceptive.
"Consequently that the public did not have vital facts which may have been very significant to their evaluation of the presenter and the content he presented.
"Credibility is at the core of the connection between a media organization and its audience, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the potential to erode the very considerable amounts of credibility that viewers would have put in a factual film from the broadcaster about the conflict in Gaza."
The film was removed from the BBC's streaming service in last February after the narrator's personal associations were revealed, and in the month of July an broadcaster's internal assessment determined it violated the broadcaster's content policies on factual correctness.
A corporation official stated: "The authority's determination is in line with the conclusions of the internal assessment, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the authority's determination in its entirety. We will follow the sanction as soon as the date and language are confirmed."
