The public service broadcaster committed a "serious breach" of media regulations by omitting to mention that the voice of a programme about the Gaza conflict was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The BBC's director general had previously apologised, stating there had been "a major oversight in relation to accuracy".
Ofcom has directed the BBC to transmit a peak-time announcement about its decisions.
"Given this constitutes a major infringement of our code, we are ordering the BBC to transmit a message of our conclusions against it on BBC2 at 21:00, with a schedule to be confirmed," the regulator stated.
'Potential to Undermine Confidence'
The regulator's statement stated: "The inquiry we conducted concluded that the programme's lack of disclosure that the presenter'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 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, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the possibility to erode the exceptionally strong levels of confidence that audiences would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was removed from the BBC's streaming service in February after the presenter's familial connections came to light, and in the month of July an corporation's own inquiry found it infringed the corporation's editorial guidelines on truthfulness.
A BBC spokesperson said: "The Ofcom ruling is in line with the results of the internal assessment, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the authority's determination in its entirety. We will adhere to the directive as soon as the timing and language are confirmed."
