The public service broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the narrator of a documentary about the Gaza conflict was the son of a Hamas representative, according to regulatory body Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The head of the BBC had earlier expressed regret, noting there had been "a significant failing in relation to truthfulness".
The authority has instructed the corporation to broadcast a evening declaration about its conclusions.
"Given this constitutes a serious breach of our regulations, we are directing the broadcaster to air a announcement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a timing to be determined," the statement read.
'Risk to Damage Trust'
The watchdog's report stated: "Our investigation determined that the programme's failure to disclose that the presenter's father occupied a position in the Hamas-controlled government was materially misleading.
"This implied that the public did not have critical information which may have been highly relevant to their judgment of the voice and the information he shared.
"Credibility is at the core of the bond between a media organization and its audience, notably for a national broadcasting corporation such as the BBC.
"This failing had the risk to damage the exceptionally strong degrees of confidence that audiences would have invested in a documentary produced by the BBC about the Gaza conflict."
The film was pulled from the online platform in last February after the presenter's familial connections were revealed, and in July an internal BBC review found it breached the broadcaster's content policies on factual correctness.
A BBC spokesperson stated: "The Ofcom ruling is in line with the conclusions of the corporation's inquiry, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on truthfulness, which reflects clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the authority's determination in full. We will adhere to the penalty as soon as the schedule and language are finalised."