The public service broadcaster engaged in a "major breach" of media regulations by not revealing that the presenter of a programme about the Gaza situation was the son of a Hamas representative, according to regulatory body Ofcom.
An probe 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, saying there had been "a significant failing in relation to truthfulness".
The regulator has instructed the corporation to air a evening declaration about its findings.
"Given this constitutes a significant violation of our code, we are directing the BBC to broadcast a announcement of our conclusions against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," the regulator stated.
'Potential to Undermine Credibility'
The regulator's statement stated: "Our probe concluded that the film's failure to disclose that the voice's father occupied a position in the Hamas-run authority was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been extremely pertinent to their assessment of the narrator and the information he shared.
"Credibility is at the core of the connection between a broadcaster and its viewers, particularly for a public service broadcaster such as the public broadcaster.
"This error had the possibility to undermine the exceptionally strong degrees of credibility that the public would have placed in a BBC factual programme about the Gaza conflict."
The programme was removed from iPlayer in last February after the presenter's familial connections came to light, and in the month of July an broadcaster's internal assessment determined it breached the broadcaster's journalistic standards on factual correctness.
A corporation official stated: "The Ofcom ruling is in agreement with the conclusions of the internal assessment, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which aligns with clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we comply with the regulator's ruling in full. We will follow the directive as soon as the timing and wording are confirmed."