The public service broadcaster was found to have committed a "serious breach" of industry standards by not revealing that the voice of a documentary about the Gaza situation was the child of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the programme was "substantially inaccurate".
The BBC's director general had previously apologised, noting there had been "a major oversight in relation to truthfulness".
The authority has directed the broadcaster to air a prime-time announcement about its conclusions.
"As this represents a serious breach of our rules, we are directing the BBC to transmit a statement of our findings against it on BBC Two at nine o'clock in the evening, with a date to be confirmed," the regulator stated.
'Possibility to Damage Trust'
The watchdog's report stated: "Our investigation found that the documentary's lack of disclosure that the presenter's parent served in a post in the Hamas-administered authority was materially misleading.
"It meant that the audience did not have essential details which may have been highly relevant to their assessment of the narrator and the details he shared.
"Trust is at the core of the connection between a television network and its viewers, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the risk to undermine the very considerable degrees of credibility that the public would have invested in a BBC factual programme about the Gaza conflict."
The film was pulled from the BBC's streaming service in the month of February after the narrator's family links emerged, and in this past July an corporation's own inquiry found it infringed the broadcaster's journalistic standards on factual correctness.
A representative for the broadcaster commented: "The regulator's decision is in line with the conclusions of the internal assessment, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept Ofcom's decision in full. We will follow the penalty as soon as the schedule and language are confirmed."