The public service broadcaster was found to have committed a "serious breach" of industry standards by omitting to mention that the presenter of a documentary about Gaza was the son of a Hamas administrator, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a significant failing in relation to truthfulness".
The regulator has ordered the BBC to transmit a evening announcement about its findings.
"As this represents a significant violation of our code, we are instructing the corporation to broadcast a message of our conclusions against it on the BBC's second channel at 21:00, with a timing to be determined," the regulator stated.
'Possibility to Erode Trust'
The authority's announcement declared: "Our probe concluded that the programme's failure to disclose that the narrator's parent served in a position in the Hamas-controlled administration was significantly deceptive.
"This implied that the public did not have vital facts which may have been very significant to their assessment of the narrator and the content he shared.
"Credibility is at the center of the bond between a media organization and its audience, especially for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to erode the very considerable degrees of trust that viewers would have put in a factual film from the broadcaster about the Gaza conflict."
The documentary was removed from the BBC's streaming service in last February after the boy's family links were revealed, and in July an broadcaster's internal assessment found it violated the corporation's journalistic standards on factual correctness.
A BBC spokesperson commented: "The Ofcom ruling is in line with the findings of the internal assessment, that there was a major oversight in the documentary in relation to the corporation's content standards on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the authority's determination in complete. We will comply with the penalty as soon as the date and wording are determined."
