The British broadcaster engaged in a "significant breach" of media regulations by omitting to mention that the presenter of a film about Gaza was the child of a Hamas representative, according to regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has concluded that the film was "significantly deceptive".
The head of the BBC had earlier expressed regret, saying there had been "a significant failing in relation to factual correctness".
Ofcom has ordered the BBC to transmit a prime-time statement about its findings.
"Since this amounts to a significant violation of our rules, we are directing the corporation to broadcast a message of our findings against it on BBC2 at nine o'clock in the evening, with a timing to be finalised," the regulator stated.
'Risk to Damage Trust'
The authority's announcement said: "Our probe determined that the programme's failure to disclose that the narrator's parent occupied a role in the Hamas-administered administration was significantly deceptive.
"Consequently that the viewers did not have essential details which may have been extremely pertinent to their evaluation of the presenter and the details he shared.
"Credibility is at the heart of the connection between a media organization and its public, notably for a national broadcasting corporation such as the public broadcaster.
"This error had the potential to undermine the significantly high amounts of confidence that the public would have placed in a documentary produced by the BBC about the Gaza conflict."
The programme was pulled from iPlayer in February after the narrator's family links came to light, and in the month of July an internal BBC review concluded it infringed the organization's journalistic standards on accuracy.
A representative for the broadcaster stated: "The authority's determination is in line with the results of the corporation's inquiry, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on accuracy, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept the authority's determination in full. We will adhere to the sanction as soon as the date and wording are finalised."