The British broadcaster committed a "major breach" of broadcasting rules by omitting to mention that the voice of a documentary about the Gaza situation was the child of a Hamas representative, as determined by regulatory body Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The BBC's director general had already issued an apology, saying there had been "a significant failing in relation to factual correctness".
The regulator has instructed the corporation to transmit a peak-time declaration about its conclusions.
"Given this constitutes a major infringement of our rules, we are directing the BBC to air a message of our findings against it on BBC2 at nine o'clock in the evening, with a date to be finalised," the statement read.
'Possibility to Damage Credibility'
The regulator's announcement stated: "Our probe found that the film's omission to reveal that the presenter's parent served in a post in the Hamas-controlled government was substantially inaccurate.
"Consequently that the audience did not have essential details which may have been extremely pertinent to their assessment of the presenter and the information he presented.
"Trust is at the heart of the relationship 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 exceptionally strong degrees of trust that the public would have invested in a documentary produced by the BBC about the Gaza conflict."
The programme was removed from the online platform in last February after the presenter's familial connections were revealed, and in July an broadcaster's internal assessment determined it breached the organization's journalistic standards on truthfulness.
A corporation official said: "The regulator's decision is in agreement with the results of the internal assessment, that there was a significant failing in the programme in relation to the corporation's content standards on truthfulness, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the regulator's ruling in its entirety. We will follow the directive as soon as the schedule and language are determined."