The British broadcaster was found to have committed a "significant breach" of industry standards by omitting to mention that the narrator of a programme about the Gaza situation was the child of a Hamas official, as ruled by UK media regulator Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The BBC's director general had already issued an apology, noting there had been "a major oversight in relation to truthfulness".
The regulator has instructed the BBC to transmit a peak-time statement about its findings.
"Since this amounts to a significant violation of our regulations, we are ordering the corporation to broadcast a announcement of our findings against it on the BBC's second channel at 21:00, with a timing to be confirmed," the statement read.
'Potential to Erode Confidence'
The regulator's announcement stated: "Our investigation found that the programme's failure to disclose that the presenter's father occupied a post in the Hamas-controlled authority was materially misleading.
"Consequently that the audience did not have essential details which may have been highly relevant to their judgment of the presenter and the information he provided.
"Trust is at the center of the connection between a television network and its viewers, particularly for a public service broadcaster such as the BBC.
"This failing had the potential to undermine the exceptionally strong amounts of confidence that viewers would have put in a documentary produced by the BBC about the Gaza conflict."
The programme was removed from the online platform in February after the boy's family links came to light, and in July an broadcaster's internal assessment found it breached the broadcaster's journalistic standards on truthfulness.
A corporation official said: "The authority's determination is in agreement with the conclusions of the internal assessment, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with Ofcom's decision in its entirety. We will adhere to the penalty as soon as the date and language are finalised."