The British broadcaster was found to have committed a "major breach" of broadcasting rules by not revealing that the presenter of a programme about the Gaza situation was the child of a Hamas official, according to regulatory body Ofcom.
An investigation by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The BBC's director general had already issued an apology, saying there had been "a significant failing in relation to factual correctness".
The authority has ordered the corporation to transmit a peak-time declaration about its findings.
"Given this constitutes a serious breach of our regulations, we are directing the corporation to broadcast a announcement of our findings against it on BBC2 at 9pm, with a timing to be confirmed," the regulator stated.
'Possibility to Undermine Trust'
The authority's announcement declared: "The inquiry we conducted determined that the film's lack of disclosure that the voice's father held a position in the Hamas-run administration was significantly deceptive.
"It meant that the viewers did not have vital facts which may have been very significant to their assessment of the narrator and the content he provided.
"Confidence is at the heart of the connection between a media organization and its viewers, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the possibility to damage the significantly high levels of trust that the public would have invested in a BBC factual programme about the conflict in Gaza."
The film was pulled from the BBC's streaming service in February after the presenter's familial connections were revealed, and in the month of July an internal BBC review found it violated the organization's journalistic standards on factual correctness.
A representative for the broadcaster commented: "The authority's determination is in accordance with the conclusions of the corporation's inquiry, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with Ofcom's decision in full. We will adhere to the sanction as soon as the timing and wording are confirmed."