The British broadcaster committed a "serious breach" of media regulations by failing to disclose that the voice of a programme about the Gaza conflict was the son of a Hamas representative, as determined by UK media regulator Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The head of the BBC had already issued an apology, stating there had been "a major oversight in relation to accuracy".
The authority has ordered the corporation to broadcast a prime-time statement about its findings.
"Given this constitutes a significant violation of our regulations, we are directing the corporation to transmit a statement of our determinations against it on BBC2 at nine o'clock in the evening, with a timing to be confirmed," the regulator stated.
'Risk to Undermine Credibility'
The regulator's report said: "The inquiry we conducted determined that the film's lack of disclosure that the narrator's father served in a position in the Hamas-run government was significantly deceptive.
"It meant that the audience did not have essential details which may have been highly relevant to their judgment of the presenter and the content he provided.
"Trust is at the center of the connection between a broadcaster and its viewers, notably for a state-funded media outlet such as the public broadcaster.
"This oversight had the possibility to damage the significantly high amounts of credibility that audiences would have placed in a factual film from the broadcaster about the Israel-Gaza war."
The programme was removed from iPlayer in the month of February after the narrator's familial connections emerged, and in this past July an internal BBC review concluded it infringed the corporation's editorial guidelines on factual correctness.
A BBC spokesperson stated: "The regulator's decision is in line with the results of the internal assessment, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on accuracy, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with the authority's determination in complete. We will adhere to the penalty as soon as the schedule and language are determined."