The British broadcaster was found to have committed a "major breach" of media regulations by failing to disclose that the voice of a documentary about Gaza was the offspring of a Hamas representative, as ruled by UK media regulator Ofcom.
An inquiry by Ofcom into the documentary titled Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The head of the BBC had earlier expressed regret, noting there had been "a major oversight in relation to factual correctness".
The regulator has ordered the broadcaster to broadcast a evening statement about its conclusions.
"As this represents a serious breach of our rules, we are ordering the broadcaster to broadcast a message of our determinations against it on BBC2 at 21:00, with a timing to be determined," it said.
'Possibility to Undermine Credibility'
The authority's statement declared: "The inquiry we conducted determined that the film's failure to disclose that the voice's father served in a role in the Hamas-run administration was materially misleading.
"It meant that the public did not have critical information which may have been highly relevant to their evaluation of the presenter and the content he presented.
"Credibility is at the center of the bond between a media organization and its viewers, notably for a state-funded media outlet such as the BBC.
"This failing had the possibility to undermine the very considerable degrees of credibility that the public would have put in a factual film from the broadcaster about the Gaza conflict."
The programme was removed from the BBC's streaming service in the month of February after the narrator's familial connections came to light, and in July an broadcaster's internal assessment found it infringed the broadcaster's journalistic standards on truthfulness.
A BBC spokesperson said: "The regulator's decision is in line with the conclusions of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on factual correctness, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept Ofcom's decision in its entirety. We will comply with the penalty as soon as the timing and wording are confirmed."