The British broadcaster was found to have committed a "significant breach" of broadcasting rules by not revealing that the voice of a film about the Gaza conflict was the son of a Hamas representative, as ruled by UK media regulator Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, saying there had been "a significant failing in relation to factual correctness".
The authority has ordered the broadcaster to air a peak-time statement about its conclusions.
"Given this constitutes a major infringement of our regulations, we are instructing the broadcaster to air a statement of our conclusions against it on BBC Two at 9pm, with a date to be determined," the regulator stated.
'Risk to Damage Trust'
The watchdog's announcement declared: "The inquiry we conducted determined that the programme's omission to reveal that the voice's father served in a position in the Hamas-controlled authority was significantly deceptive.
"It meant that the public did not have essential details which may have been extremely pertinent to their judgment of the voice and the information he presented.
"Confidence is at the center of the bond between a television network and its viewers, notably for a national broadcasting corporation such as the BBC.
"This failing had the possibility to erode the very considerable degrees of credibility that the public would have placed in a BBC factual programme about the conflict in Gaza."
The documentary was removed from the BBC's streaming service in the month of February after the narrator's family links came to light, and in July an internal BBC review concluded it breached the corporation's content policies on truthfulness.
A representative for the broadcaster stated: "The regulator's decision is in accordance with the findings of the internal assessment, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with Ofcom's decision in its entirety. We will adhere to the directive as soon as the date and wording are confirmed."