The British broadcaster engaged in a "significant breach" of industry standards by omitting to mention that the voice of a film about the Gaza conflict was the child of a Hamas official, as ruled by UK media regulator Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The head of the BBC had earlier expressed regret, saying there had been "a serious error in relation to factual correctness".
The authority has ordered the broadcaster to transmit a peak-time announcement about its findings.
"Given this constitutes a major infringement of our regulations, we are instructing the broadcaster to air a announcement of our determinations against it on the BBC's second channel at 9pm, with a timing to be finalised," the regulator stated.
'Possibility to Undermine Credibility'
The regulator's statement stated: "Our probe concluded that the programme's lack of disclosure that the presenter's parent occupied a role in the Hamas-administered government was materially misleading.
"This implied that the audience did not have essential details which may have been very significant to their evaluation of the voice and the content he provided.
"Confidence is at the center of the bond between a television network and its viewers, especially for a public service broadcaster such as the public broadcaster.
"This failing had the risk to erode the significantly high amounts of trust that the public would have invested in a documentary produced by the BBC about the Gaza conflict."
The programme was removed from the BBC's streaming service in last February after the narrator's family links emerged, and in the month of July an broadcaster's internal assessment concluded it breached the corporation's content policies on factual correctness.
A BBC spokesperson commented: "The Ofcom ruling is in accordance with the results 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 corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept the authority's determination in full. We will adhere to the penalty as soon as the date and language are finalised."