The public service broadcaster engaged in a "serious breach" of industry standards by omitting to mention that the presenter of a programme about Gaza was the son of a Hamas representative, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The BBC's director general had already issued an apology, noting there had been "a major oversight in relation to factual correctness".
The authority has instructed the corporation to broadcast a prime-time statement about its decisions.
"Given this constitutes a major infringement of our regulations, we are ordering the corporation to transmit a announcement of our findings against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," the statement read.
'Potential to Erode Trust'
The watchdog's report stated: "Our investigation concluded that the film's omission to reveal that the presenter's male guardian occupied a role in the Hamas-administered government was materially misleading.
"Consequently that the public did not have vital facts which may have been extremely pertinent to their judgment of the presenter and the details he shared.
"Credibility is at the center of the relationship between a broadcaster and its viewers, particularly for a national broadcasting corporation such as the BBC.
"This oversight had the potential to damage the significantly high amounts of confidence that viewers would have placed in a BBC factual programme about the conflict in Gaza."
The programme was withdrawn from the online platform in last February after the narrator's personal associations emerged, and in July an corporation's own inquiry found it violated the organization's content policies on factual correctness.
A BBC spokesperson commented: "The regulator's decision is in agreement with the conclusions of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on factual correctness, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with the authority's determination in complete. We will adhere to the penalty as soon as the date and wording are confirmed."
