The British broadcaster committed a "serious breach" of media regulations by omitting to mention that the voice of a programme about Gaza was the offspring of a Hamas official, as ruled by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The head of the BBC had earlier expressed regret, stating there had been "a serious error in relation to truthfulness".
The authority has ordered the broadcaster to air a peak-time announcement about its findings.
"Since this amounts to a major infringement of our rules, we are directing the BBC to transmit a message of our determinations against it on BBC Two at 9pm, with a schedule to be confirmed," the statement read.
'Potential to Damage Credibility'
The authority's statement said: "Our probe found that the documentary's omission to reveal that the presenter's parent served in a post in the Hamas-run government was materially misleading.
"It meant that the audience did not have essential details which may have been extremely pertinent to their assessment of the presenter and the information he presented.
"Trust is at the heart of the relationship between a television network and its viewers, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This failing had the possibility to undermine the very considerable degrees of credibility that the public would have put in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from the online platform in last February after the narrator's family links emerged, and in the month of July an internal BBC review found it infringed the broadcaster's editorial guidelines on truthfulness.
A representative for the broadcaster stated: "The Ofcom ruling is in accordance with the conclusions of Peter Johnston's review, that there was a significant failing in the documentary in relation to the corporation's content standards on factual correctness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the authority's determination in its entirety. We will follow the penalty as soon as the schedule and wording are determined."
