The British broadcaster was found to have committed a "significant breach" of media regulations by not revealing that the voice of a documentary about the Gaza conflict was the son of a Hamas administrator, as determined by UK media regulator Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The head of the BBC had previously apologised, noting there had been "a significant failing in relation to accuracy".
Ofcom has instructed the corporation to air a peak-time announcement about its conclusions.
"As this represents a significant violation of our code, we are ordering the broadcaster to transmit a announcement of our findings against it on the BBC's second channel at 21:00, with a date to be confirmed," the statement read.
'Possibility to Undermine Credibility'
The regulator's report declared: "Our probe concluded that the film's omission to reveal that the voice's parent occupied a post in the Hamas-run administration was substantially inaccurate.
"It meant that the viewers did not have essential details which may have been extremely pertinent to their evaluation of the presenter and the content he shared.
"Trust is at the core of the relationship between a media organization and its public, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the potential to undermine the very considerable levels of trust that audiences would have placed in a factual film from the broadcaster about the conflict in Gaza."
The film was withdrawn from the online platform in February after the presenter's family links came to light, and in July an internal BBC review determined it infringed the corporation's content policies on accuracy.
A corporation official said: "The authority's determination is in accordance with the conclusions of the internal assessment, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which reflects regulation 2.2 of the regulator's media standards.
"We have apologised for this and we accept Ofcom's decision in its entirety. We will follow the sanction as soon as the date and wording are determined."