The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by omitting to mention that the narrator of a film about the Gaza conflict was the offspring of a Hamas administrator, as determined by UK media regulator Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The head of the BBC had already issued an apology, saying there had been "a serious error in relation to accuracy".
The authority has directed the BBC to broadcast a evening statement about its decisions.
"As this represents a serious breach of our rules, we are directing the broadcaster to air a message of our conclusions against it on BBC2 at 9pm, with a schedule to be confirmed," it said.
'Risk to Undermine Credibility'
The regulator's statement stated: "Our investigation concluded that the programme's failure to disclose that the voice's male guardian held a post in the Hamas-controlled authority was substantially inaccurate.
"Consequently that the public did not have vital facts which may have been extremely pertinent to their judgment of the voice and the details he shared.
"Confidence is at the heart of the relationship between a broadcaster and its public, notably for a national broadcasting corporation such as the BBC.
"This error had the potential to damage the very considerable degrees of trust that viewers would have placed in a documentary produced by the BBC about the conflict in Gaza."
The film was withdrawn from iPlayer in the month of February after the presenter's familial connections came to light, and in the month of July an internal BBC review concluded it violated the corporation's journalistic standards on accuracy.
A representative for the broadcaster said: "The Ofcom ruling is in line with the conclusions of Peter Johnston's review, that there was a serious error in the film in relation to the corporation's content standards on truthfulness, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with Ofcom's decision in its entirety. We will follow the directive as soon as the date and wording are determined."