The public service broadcaster was found to have committed a "serious breach" of industry standards by not revealing that the presenter of a programme about Gaza was the offspring of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The BBC's director general had already issued an apology, noting there had been "a serious error in relation to accuracy".
The authority has ordered the broadcaster to broadcast a evening declaration about its decisions.
"Given this constitutes a major infringement of our code, we are ordering the corporation to transmit a message of our findings against it on BBC Two at nine o'clock in the evening, with a timing to be determined," the statement read.
'Possibility to Undermine Trust'
The authority's announcement stated: "Our investigation concluded that the documentary's failure to disclose that the narrator's father served in a post in the Hamas-administered administration was materially misleading.
"Consequently that the viewers did not have vital facts which may have been highly relevant to their assessment of the narrator and the content he provided.
"Trust is at the heart of the relationship between a broadcaster and its public, particularly for a national broadcasting corporation such as the public broadcaster.
"This oversight had the potential to undermine the very considerable levels of confidence that the public would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The film was pulled from the online platform in February after the presenter's family links were revealed, and in July an broadcaster's internal assessment concluded it breached the organization's journalistic standards on accuracy.
A representative for the broadcaster stated: "The authority's determination is in agreement with the results of Peter Johnston's review, that there was a significant failing in the programme in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with Ofcom's decision in complete. We will follow the directive as soon as the date and wording are finalised."