The British broadcaster was found to have committed a "significant breach" of broadcasting rules by not revealing that the narrator of a film about Gaza was the son of a Hamas official, as determined by British broadcasting authority Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The head of the BBC had earlier expressed regret, saying there had been "a major oversight in relation to accuracy".
The regulator has directed the corporation to transmit a evening declaration about its conclusions.
"Since this amounts to a significant violation of our rules, we are ordering the BBC to air a announcement of our conclusions against it on BBC Two at 21:00, with a schedule to be determined," it said.
'Risk to Undermine Trust'
The authority's statement said: "The inquiry we conducted determined that the documentary's failure to disclose that the voice's parent held a role in the Hamas-controlled authority was materially misleading.
"Consequently that the viewers did not have essential details which may have been highly relevant to their assessment of the presenter and the content he shared.
"Credibility is at the core of the relationship between a television network and its audience, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the possibility to erode the exceptionally strong amounts of confidence that viewers would have put in a factual film from the broadcaster about the Gaza conflict."
The programme was withdrawn from iPlayer in February after the narrator's family links were revealed, and in this past July an broadcaster's internal assessment determined it violated the broadcaster's journalistic standards on factual correctness.
A representative for the broadcaster stated: "The Ofcom ruling is in accordance with the results of the internal assessment, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept the regulator's ruling in complete. We will follow the directive as soon as the date and wording are determined."