The public service broadcaster was found to have committed a "serious breach" of media regulations by omitting to mention that the voice of a film about the Gaza conflict was the son of a Hamas representative, according to UK media regulator Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a serious error in relation to factual correctness".
The authority has instructed the BBC to transmit a evening declaration about its conclusions.
"Since this amounts to a major infringement of our code, we are instructing the broadcaster to broadcast a message of our findings against it on BBC2 at 9pm, with a timing to be confirmed," the statement read.
'Risk to Damage Credibility'
The authority's announcement said: "Our probe determined that the programme's omission to reveal that the presenter's father occupied a post in the Hamas-administered government was substantially inaccurate.
"This implied that the public did not have vital facts which may have been very significant to their judgment of the presenter and the content he provided.
"Credibility is at the center of the bond between a media organization and its public, notably for a public service broadcaster such as the BBC.
"This oversight had the potential to damage the significantly high degrees of credibility that viewers would have invested in a factual film from the broadcaster about the Gaza conflict."
The film was removed from the BBC's streaming service in last February after the narrator's personal associations came to light, and in July an broadcaster's internal assessment found it breached the corporation's journalistic standards on truthfulness.
A BBC spokesperson said: "The regulator's decision is in agreement with the results of the internal assessment, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to regulation 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the regulator's ruling in complete. We will comply with the directive as soon as the schedule and wording are confirmed."