The British broadcaster engaged in a "major breach" of broadcasting rules by failing to disclose that the voice of a documentary about the Gaza situation was the son of a Hamas representative, as ruled by UK media regulator Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The BBC's director general had earlier expressed regret, stating there had been "a serious error in relation to truthfulness".
Ofcom has ordered the BBC to air a prime-time statement about its decisions.
"As this represents a serious breach of our rules, we are ordering the BBC to broadcast a announcement of our determinations against it on BBC Two at 21:00, with a date to be determined," the regulator stated.
'Possibility to Undermine Credibility'
The authority's announcement said: "The inquiry we conducted found that the documentary's omission to reveal that the voice's male guardian held a post in the Hamas-run government was materially misleading.
"Consequently that the public did not have critical information which may have been highly relevant to their assessment of the voice and the content he provided.
"Trust is at the core of the relationship between a television network and its viewers, notably for a state-funded media outlet such as the BBC.
"This failing had the potential to erode the significantly high levels of confidence that viewers would have invested in a documentary produced by the BBC about the Gaza conflict."
The documentary was removed from the BBC's streaming service in February after the narrator's familial connections came to light, and in the month of July an internal BBC review determined it infringed the broadcaster's journalistic standards on truthfulness.
A corporation official said: "The authority's determination is in accordance with the conclusions of Peter Johnston's review, that there was a significant failing in the film in relation to the corporation's content standards on factual correctness, which aligns with regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the authority's determination in complete. We will adhere to the penalty as soon as the timing and wording are determined."