The public service broadcaster committed a "significant breach" of media regulations by omitting to mention that the voice of a film about the Gaza situation was the offspring of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a serious error in relation to truthfulness".
The regulator has ordered the corporation to transmit a peak-time announcement about its findings.
"Given this constitutes a significant violation of our code, we are directing the corporation to broadcast a message of our determinations against it on BBC2 at 21:00, with a schedule to be determined," it said.
'Risk to Undermine Confidence'
The regulator's statement declared: "Our probe concluded that the programme's lack of disclosure that the presenter's male guardian occupied a post in the Hamas-controlled administration was substantially inaccurate.
"It meant that the public did not have essential details which may have been extremely pertinent to their assessment of the voice and the content he presented.
"Confidence is at the core of the relationship between a television network and its viewers, especially for a public service broadcaster such as the public broadcaster.
"This failing had the risk to damage the very considerable levels of confidence that audiences would have invested in a BBC factual programme about the Israel-Gaza war."
The film was pulled from the BBC's streaming service in the month of February after the presenter's familial connections were revealed, and in July an internal BBC review found it breached the organization's editorial guidelines on factual correctness.
A representative for the broadcaster commented: "The Ofcom ruling is in line with the conclusions of the corporation's inquiry, that there was a significant failing in the programme in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the authority's determination in its entirety. We will comply with the directive as soon as the date and language are determined."
