The British broadcaster engaged in a "serious breach" of broadcasting rules by failing to disclose that the presenter of a programme about the Gaza situation was the child of a Hamas representative, as determined by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The head of the BBC had earlier expressed regret, saying there had been "a serious error in relation to factual correctness".
The authority has directed the broadcaster to broadcast a peak-time statement about its findings.
"Given this constitutes a significant violation of our regulations, we are instructing the corporation to air a announcement of our conclusions against it on BBC2 at 21:00, with a timing to be finalised," the regulator stated.
'Possibility to Undermine Trust'
The watchdog's report stated: "Our probe determined that the programme's failure to disclose that the narrator's parent occupied a position in the Hamas-run government was substantially inaccurate.
"It meant that the public did not have essential details which may have been extremely pertinent to their evaluation of the voice and the content he shared.
"Credibility is at the center of the bond between a media organization and its viewers, especially for a national broadcasting corporation such as the public broadcaster.
"This failing had the potential to damage the significantly high amounts of credibility that viewers would have put in a documentary produced by the BBC about the conflict in Gaza."
The documentary was withdrawn from iPlayer in February after the narrator's familial connections were revealed, and in this past July an corporation's own inquiry determined it infringed the broadcaster's editorial guidelines on factual correctness.
A BBC spokesperson commented: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a significant failing in the documentary in relation to the corporation's content standards on factual correctness, which reflects Rule 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the regulator's ruling in full. We will comply with the penalty as soon as the date and wording are determined."
