The public service broadcaster engaged in a "major breach" of media regulations by omitting to mention that the narrator of a programme about the Gaza situation was the son of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had previously apologised, stating there had been "a significant failing in relation to accuracy".
The authority has ordered the broadcaster to broadcast a prime-time announcement about its conclusions.
"Given this constitutes a significant violation of our code, we are ordering the corporation to air a statement of our conclusions against it on the BBC's second channel at 21:00, with a timing to be finalised," the statement read.
'Potential to Erode Credibility'
The regulator's announcement declared: "Our investigation determined that the film's failure to disclose that the narrator's parent held a post in the Hamas-run authority was significantly deceptive.
"This implied that the public did not have essential details which may have been very significant to their evaluation of the narrator and the content he presented.
"Credibility is at the heart of the connection between a broadcaster and its viewers, notably for a state-funded media outlet such as the BBC.
"This failing had the possibility to erode the significantly high degrees of trust that viewers would have invested in a BBC factual programme about the Gaza conflict."
The documentary was pulled from iPlayer in the month of February after the narrator's family links emerged, and in the month of July an broadcaster's internal assessment determined it breached the broadcaster's editorial guidelines on factual correctness.
A corporation official commented: "The regulator's decision is in accordance with the conclusions of the corporation's inquiry, that there was a significant failing in the programme in relation to the corporation's content standards on truthfulness, which reflects clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept the authority's determination in its entirety. We will follow the sanction as soon as the date and language are determined."