The British broadcaster was found to have committed a "major breach" of broadcasting rules by not revealing that the presenter of a documentary about Gaza was the offspring of a Hamas administrator, according to regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had earlier expressed regret, saying there had been "a major oversight in relation to factual correctness".
Ofcom has directed the corporation to transmit a peak-time statement about its conclusions.
"As this represents a serious breach of our regulations, we are ordering the broadcaster to transmit a statement of our findings against it on the BBC's second channel at 21:00, with a timing to be confirmed," it said.
'Possibility to Erode Trust'
The authority's statement declared: "Our probe determined that the documentary's failure to disclose that the narrator's parent served in a post in the Hamas-administered administration was materially misleading.
"Consequently that the public did not have essential details which may have been highly relevant to their judgment of the presenter and the information he shared.
"Confidence is at the center of the relationship between a media organization and its audience, notably for a national broadcasting corporation such as the public broadcaster.
"This error had the possibility to damage the very considerable levels of trust that viewers would have invested in a BBC factual programme about the Israel-Gaza war."
The documentary was withdrawn from the online platform in the month of February after the narrator's familial connections emerged, and in the month of July an broadcaster's internal assessment found it breached the corporation's editorial guidelines on truthfulness.
A corporation official stated: "The authority's determination is in agreement with the conclusions of Peter Johnston's review, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with Ofcom's decision in its entirety. We will follow the penalty as soon as the schedule and wording are determined."