The public service broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the voice of a programme about Gaza was the child of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by the media regulator into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "substantially inaccurate".
The BBC's director general had previously apologised, stating there had been "a major oversight in relation to accuracy".
Ofcom has ordered the corporation to air a peak-time declaration about its decisions.
"Since this amounts to a significant violation of our rules, we are ordering the corporation to broadcast a message of our conclusions against it on the BBC's second channel at 21:00, with a timing to be confirmed," the regulator stated.
'Risk to Damage Confidence'
The regulator's report stated: "Our investigation found that the programme's failure to disclose that the presenter's male guardian served in a position in the Hamas-administered authority was significantly deceptive.
"It meant that the viewers did not have vital facts which may have been highly relevant to their assessment of the narrator and the content he provided.
"Trust is at the heart of the relationship between a media organization and its viewers, especially for a public service broadcaster such as the BBC.
"This failing had the potential to damage the exceptionally strong amounts of trust that the public would have put in a documentary produced by the BBC about the Israel-Gaza war."
The film was removed from the BBC's streaming service in last February after the presenter's familial connections emerged, and in this past July an internal BBC review concluded it breached the broadcaster's editorial guidelines on factual correctness.
A corporation official commented: "The regulator's decision is in accordance with the findings of the corporation's inquiry, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on accuracy, which reflects regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we agree with Ofcom's decision in its entirety. We will comply with the sanction as soon as the date and wording are determined."