The British broadcaster was found to have committed a "serious breach" of broadcasting rules by failing to disclose that the voice of a film about Gaza was the child of a Hamas representative, as determined by UK media regulator Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The head of the BBC had earlier expressed regret, noting there had been "a serious error in relation to accuracy".
Ofcom has directed the BBC to air a peak-time statement about its findings.
"Since this amounts to a major infringement of our code, we are ordering the broadcaster to air a message of our conclusions against it on the BBC's second channel at 9pm, with a schedule to be confirmed," the statement read.
'Possibility to Damage Confidence'
The authority's statement stated: "Our investigation concluded that the film's lack of disclosure that the narrator's parent held a role in the Hamas-run government was significantly deceptive.
"This implied that the audience did not have vital facts which may have been highly relevant to their judgment of the narrator and the information he provided.
"Trust is at the center of the bond between a broadcaster and its audience, notably for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the potential to damage the exceptionally strong amounts of credibility that viewers would have invested in a documentary produced by the BBC about the Gaza conflict."
The documentary was withdrawn from iPlayer in the month of February after the presenter's family links came to light, and in this past July an internal BBC review concluded it breached the organization's content policies on factual correctness.
A BBC spokesperson stated: "The Ofcom ruling is in agreement with the findings of the corporation's inquiry, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with Ofcom's decision in its entirety. We will adhere to the sanction as soon as the schedule and language are confirmed."