The public service broadcaster was found to have committed a "major breach" of media regulations by failing to disclose that the voice of a documentary about the Gaza situation was the offspring of a Hamas administrator, as ruled by regulatory body Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The chief executive of the broadcaster had previously apologised, stating there had been "a serious error in relation to truthfulness".
The regulator has directed the corporation to air a prime-time declaration about its conclusions.
"Given this constitutes a major infringement of our rules, we are instructing the BBC to transmit a statement of our conclusions against it on BBC2 at 21:00, with a date to be determined," the regulator stated.
'Possibility to Erode Trust'
The authority's announcement declared: "Our probe concluded that the documentary's failure to disclose that the voice's father held a post in the Hamas-run authority was significantly deceptive.
"It meant that the viewers did not have critical information which may have been very significant to their evaluation of the narrator and the information he shared.
"Trust is at the heart of the connection between a television network and its audience, particularly for a national broadcasting corporation such as the BBC.
"This failing had the potential to damage the very considerable levels of credibility that the public would have placed in a factual film from the broadcaster about the Gaza conflict."
The programme was removed from the online platform in February after the presenter's family links emerged, and in this past July an broadcaster's internal assessment concluded it violated the broadcaster's journalistic standards on truthfulness.
A representative for the broadcaster said: "The Ofcom ruling is in accordance with the conclusions of the internal assessment, that there was a significant failing in the programme in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with Ofcom's decision in its entirety. We will adhere to the penalty as soon as the schedule and wording are determined."