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 situation was the offspring of a Hamas administrator, as determined by regulatory body Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The chief executive of the broadcaster had previously apologised, noting there had been "a serious error in relation to truthfulness".
The authority has directed the BBC to transmit a prime-time statement about its decisions.
"Given this constitutes a major infringement of our regulations, we are ordering the broadcaster to transmit a message of our findings against it on the BBC's second channel at nine o'clock in the evening, with a timing to be confirmed," the statement read.
'Possibility to Erode Trust'
The authority's statement declared: "Our investigation determined that the programme's lack of disclosure that the narrator's father occupied a post in the Hamas-controlled administration was materially misleading.
"This implied that the audience did not have essential details which may have been highly relevant to their evaluation of the presenter and the content he shared.
"Confidence is at the center of the bond between a media organization and its viewers, notably for a national broadcasting corporation such as the public broadcaster.
"This error had the risk to undermine the very considerable levels of confidence that viewers would have placed in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from iPlayer in February after the narrator's family links were revealed, and in July an broadcaster's internal assessment determined it infringed the organization's editorial guidelines on accuracy.
A corporation official commented: "The Ofcom ruling is in agreement with the results of Peter Johnston's review, that there was a serious error in the documentary in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the regulator's ruling in full. We will comply with the sanction as soon as the schedule and language are finalised."