The British broadcaster committed a "serious breach" of industry standards by not revealing that the narrator of a film about the Gaza conflict was the son of a Hamas representative, as determined by UK media regulator Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The BBC's director general had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The regulator has directed the BBC to air a peak-time statement about its conclusions.
"Since this amounts to a major infringement of our code, we are ordering the broadcaster to transmit a message of our findings against it on BBC2 at 21:00, with a timing to be finalised," the statement read.
'Risk to Erode Trust'
The authority's report declared: "Our investigation determined that the programme's lack of disclosure that the narrator's parent served in a post in the Hamas-administered authority was substantially inaccurate.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their judgment of the presenter and the content he presented.
"Credibility is at the core of the relationship between a television network and its audience, notably for a state-funded media outlet such as the BBC.
"This failing had the potential to erode the significantly high amounts of trust that viewers would have placed in a BBC factual programme about the Gaza conflict."
The programme was pulled from the BBC's streaming service in the month of February after the narrator's family links came to light, and in the month of July an internal BBC review concluded it violated the corporation's journalistic standards on truthfulness.
A BBC spokesperson said: "The Ofcom ruling is in agreement with the conclusions of Peter Johnston's review, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on factual correctness, which reflects clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with Ofcom's decision in its entirety. We will adhere to the directive as soon as the date and wording are finalised."