The BBC was found to have committed a "significant breach" of industry standards by omitting to mention that the voice of a programme about the Gaza situation was the offspring of a Hamas official, as determined by UK media regulator Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The BBC's director general had previously apologised, noting there had been "a serious error in relation to accuracy".
Ofcom has ordered the corporation to transmit a peak-time statement about its conclusions.
"As this represents a significant violation of our rules, we are directing the broadcaster to broadcast a message of our findings against it on BBC Two at 21:00, with a date to be determined," the statement read.
'Possibility to Erode Credibility'
The authority's report stated: "The inquiry we conducted concluded that the programme's lack of disclosure that the voice's father served in a post in the Hamas-controlled administration was significantly deceptive.
"Consequently that the public did not have critical information which may have been highly relevant to their evaluation of the presenter and the details he shared.
"Confidence is at the center of the bond between a broadcaster and its audience, particularly for a public service broadcaster such as the public broadcaster.
"This error had the possibility to undermine the significantly high amounts of confidence that viewers would have invested in a factual film from the broadcaster about the conflict in Gaza."
The programme was pulled from the BBC's streaming service in last February after the narrator's personal associations came to light, and in this past July an broadcaster's internal assessment concluded it breached the corporation's journalistic standards on accuracy.
A representative for the broadcaster commented: "The regulator's decision is in agreement with the results of Peter Johnston's review, that there was a serious error in the film in relation to the broadcaster's journalistic policies on truthfulness, which aligns with clause 2.2 of the regulator's media standards.
"We have apologised for this and we comply with the authority's determination in its entirety. We will follow the directive as soon as the schedule and wording are confirmed."