The public service broadcaster was found to have committed a "significant breach" of media regulations by not revealing that the presenter of a programme about the Gaza situation was the offspring of a Hamas official, according to regulatory body Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The BBC's director general had previously apologised, saying there had been "a major oversight in relation to factual correctness".
The regulator has directed the broadcaster to transmit a prime-time declaration about its conclusions.
"Given this constitutes a significant violation of our regulations, we are instructing the BBC to transmit a announcement of our findings against it on BBC Two at 21:00, with a schedule to be determined," the statement read.
'Possibility to Damage Credibility'
The authority's statement said: "Our probe determined that the programme's lack of disclosure that the presenter's male guardian held a position in the Hamas-run authority was significantly deceptive.
"It meant that the audience did not have essential details which may have been extremely pertinent to their judgment of the narrator and the details he presented.
"Credibility is at the heart of the bond between a media organization and its audience, especially for a public service broadcaster such as the BBC.
"This error had the potential to damage the significantly high levels of credibility that the public would have put in a documentary produced by the BBC about the Gaza conflict."
The film was withdrawn from the online platform in last February after the presenter's family links were revealed, and in the month of July an internal BBC review concluded it violated the broadcaster's journalistic standards on factual correctness.
A representative for the broadcaster commented: "The authority's determination is in line with the results of the internal assessment, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the regulator's ruling in complete. We will adhere to the penalty as soon as the schedule and language are finalised."