The public service broadcaster engaged in a "significant breach" of industry standards by omitting to mention that the presenter of a programme about the Gaza conflict was the son of a Hamas representative, as determined by UK media regulator Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The chief executive of the broadcaster had previously apologised, stating there had been "a serious error in relation to accuracy".
Ofcom has directed the broadcaster to broadcast a prime-time announcement about its decisions.
"Since this amounts to a major infringement of our code, we are ordering the broadcaster to air a statement of our conclusions against it on BBC2 at 9pm, with a timing to be confirmed," the statement read.
'Risk to Erode Trust'
The regulator's statement said: "The inquiry we conducted concluded that the documentary's omission to reveal that the narrator's father occupied a position in the Hamas-administered government was substantially inaccurate.
"Consequently that the viewers did not have critical information which may have been highly relevant to their evaluation of the presenter and the information he presented.
"Trust is at the heart of the bond between a broadcaster and its public, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the potential to undermine the significantly high amounts of confidence that audiences would have invested in a BBC factual programme about the Gaza conflict."
The film was pulled from the BBC's streaming service in February after the narrator's family links were revealed, and in the month of July an broadcaster's internal assessment concluded it violated the organization's content policies on factual correctness.
A BBC spokesperson said: "The Ofcom ruling is in line with the results of Peter Johnston's review, that there was a significant failing in the documentary in relation to the corporation's content standards on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept Ofcom's decision in complete. We will follow the sanction as soon as the schedule and wording are determined."