The public service broadcaster was found to have committed a "significant breach" of industry standards by failing to disclose that the voice of a programme about the Gaza situation was the son of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the programme was "substantially inaccurate".
The head of the BBC had already issued an apology, stating there had been "a serious error in relation to factual correctness".
The regulator has ordered the BBC to air a prime-time declaration about its conclusions.
"As this represents a serious breach of our code, we are ordering the broadcaster to broadcast a statement of our findings against it on the BBC's second channel at nine o'clock in the evening, with a timing to be finalised," the statement read.
'Potential to Damage Confidence'
The authority's report stated: "The inquiry we conducted found that the documentary's failure to disclose that the presenter's father held a post in the Hamas-run authority was substantially inaccurate.
"This implied that the public did not have essential details which may have been very significant to their evaluation of the voice and the details he presented.
"Trust is at the center of the relationship between a television network and its public, notably for a national broadcasting corporation such as the BBC.
"This oversight had the potential to damage the exceptionally strong amounts of trust that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was pulled from the online platform in last February after the narrator's personal associations were revealed, and in the month of July an internal BBC review found it breached the corporation's editorial guidelines on factual correctness.
A BBC spokesperson said: "The Ofcom ruling is in line with the conclusions of the corporation's inquiry, that there was a major oversight in the film in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to clause 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the authority's determination in its entirety. We will adhere to the sanction as soon as the schedule and wording are finalised."