The British broadcaster engaged in a "major breach" of industry standards by omitting to mention that the voice of a documentary about the Gaza situation was the offspring of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by the media regulator into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "substantially inaccurate".
The head of the BBC had previously apologised, stating there had been "a major oversight in relation to accuracy".
The authority has ordered the corporation to transmit a evening announcement about its findings.
"Given this constitutes a significant violation of our regulations, we are instructing the broadcaster to air a statement of our findings against it on BBC Two at 21:00, with a schedule to be finalised," it said.
'Potential to Damage Confidence'
The watchdog's report declared: "Our probe determined that the programme's lack of disclosure that the narrator's father served in a role in the Hamas-run administration was materially misleading.
"It meant that the viewers did not have critical information which may have been extremely pertinent to their evaluation of the narrator and the details he shared.
"Confidence is at the heart of the connection between a television network and its viewers, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the possibility to undermine the significantly high amounts of credibility that viewers would have put in a factual film from the broadcaster about the Gaza conflict."
The programme was removed from iPlayer in February after the narrator's familial connections were revealed, and in July an corporation's own inquiry found it breached the broadcaster's editorial guidelines on accuracy.
A corporation official stated: "The Ofcom ruling is in line with the conclusions of the corporation's inquiry, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the regulator's ruling in its entirety. We will comply with the penalty as soon as the timing and wording are finalised."