The public service broadcaster engaged in a "significant breach" of industry standards by omitting to mention that the presenter of a documentary about the Gaza conflict was the offspring of a Hamas official, according to regulatory body Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has concluded that the programme was "materially misleading".
The head of the BBC had previously apologised, saying there had been "a serious error in relation to accuracy".
Ofcom has ordered the broadcaster to transmit a peak-time statement about its findings.
"As this represents a major infringement of our code, we are instructing the broadcaster to transmit a statement of our conclusions against it on BBC2 at nine o'clock in the evening, with a date to be determined," it said.
'Potential to Damage Credibility'
The authority's report declared: "Our investigation found that the documentary's lack of disclosure that the presenter's parent occupied a post in the Hamas-administered administration was substantially inaccurate.
"It meant that the viewers did not have essential details which may have been very significant to their judgment of the voice and the details he shared.
"Credibility is at the heart of the connection between a television network and its audience, especially for a national broadcasting corporation such as the public broadcaster.
"This failing had the possibility to damage the significantly high amounts of credibility that audiences would have placed in a BBC factual programme about the conflict in Gaza."
The documentary was removed from the online platform in February after the narrator's familial connections emerged, and in the month of July an broadcaster's internal assessment found it infringed the broadcaster's journalistic standards on truthfulness.
A corporation official commented: "The authority's determination is in accordance with the findings of the corporation's inquiry, that there was a major oversight in the film in relation to the corporation's content standards on factual correctness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with the authority's determination in full. We will follow the penalty as soon as the timing and wording are finalised."