The public service broadcaster was found to have committed a "significant breach" of media regulations by failing to disclose that the voice of a programme about the Gaza conflict was the offspring of a Hamas administrator, as ruled by UK media regulator Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The BBC's director general had earlier expressed regret, saying there had been "a significant failing in relation to truthfulness".
Ofcom has ordered the broadcaster to transmit a evening announcement about its decisions.
"Since this amounts to a serious breach of our code, we are directing the corporation to transmit a announcement of our conclusions against it on BBC Two at 21:00, with a schedule to be determined," the regulator stated.
'Possibility to Erode Trust'
The authority's report stated: "The inquiry we conducted concluded that the documentary's lack of disclosure that the narrator's father occupied a role in the Hamas-controlled authority was substantially inaccurate.
"Consequently that the audience did not have essential details which may have been highly relevant to their judgment of the presenter and the content he presented.
"Trust is at the core of the connection between a broadcaster and its audience, especially for a public service broadcaster such as the public broadcaster.
"This error had the risk to erode the very considerable amounts of credibility that audiences would have placed 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The film was withdrawn from the online platform in the month of February after the narrator's family links came to light, and in the month of July an corporation's own inquiry determined it infringed the broadcaster's editorial guidelines on truthfulness.
A corporation official said: "The Ofcom ruling is in line with the findings of the corporation's inquiry, that there was a serious error in the programme in relation to the corporation's content standards on factual correctness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the authority's determination in complete. We will follow the sanction as soon as the schedule and wording are determined."