The public service broadcaster engaged in a "significant breach" of broadcasting rules by not revealing that the voice of a documentary about the Gaza conflict was the offspring of a Hamas representative, as ruled by UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a serious error in relation to accuracy".
The authority has ordered the BBC to air a prime-time declaration about its conclusions.
"As this represents a major infringement of our rules, we are directing the BBC to air a statement of our conclusions against it on the BBC's second channel at 21:00, with a schedule to be determined," the statement read.
'Possibility to Undermine Credibility'
The watchdog's statement said: "Our investigation concluded that the film's omission to reveal that the voice's parent occupied a position in the Hamas-administered administration was significantly deceptive.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their evaluation of the narrator and the information he provided.
"Trust is at the core of the bond between a television network and its public, especially for a state-funded media outlet such as the BBC.
"This oversight had the possibility to damage the very considerable degrees of trust that the public would have invested in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from the online platform in the month of February after the presenter's personal associations came to light, and in the month of July an corporation's own inquiry found it breached the organization's editorial guidelines on accuracy.
A BBC spokesperson commented: "The regulator's decision is in accordance with the conclusions of Peter Johnston's review, that there was a major oversight in the documentary in relation to the corporation's content standards on accuracy, which corresponds to Rule 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the authority's determination in complete. We will comply with the penalty as soon as the timing and wording are confirmed."