The public service broadcaster was found to have committed a "major breach" of broadcasting rules by failing to disclose that the voice of a programme about the Gaza situation was the child of a Hamas representative, according to UK media regulator Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The BBC's director general had previously apologised, stating there had been "a major oversight in relation to accuracy".
Ofcom has instructed the corporation to air a evening statement about its decisions.
"Given this constitutes a serious breach of our rules, we are ordering the corporation to air a announcement of our findings against it on BBC Two at 21:00, with a schedule to be finalised," it said.
'Potential to Undermine Credibility'
The authority's statement said: "The inquiry we conducted determined that the programme's lack of disclosure that the voice's father occupied a post in the Hamas-administered government was significantly deceptive.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their evaluation of the voice and the content he presented.
"Trust is at the core of the connection between a broadcaster and its public, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the possibility to damage the significantly high levels of confidence that the public would have placed in a BBC factual programme about the Israel-Gaza war."
The documentary was withdrawn from the BBC's streaming service in last February after the presenter's familial connections came to light, and in this past July an broadcaster's internal assessment concluded it infringed the corporation's journalistic standards on truthfulness.
A representative for the broadcaster said: "The Ofcom ruling is in accordance with the conclusions of Peter Johnston's review, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on accuracy, which reflects clause 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the authority's determination in full. We will follow the directive as soon as the date and language are determined."
