The British broadcaster engaged in a "serious breach" of broadcasting rules by not revealing that the presenter of a documentary about the Gaza situation was the son of a Hamas official, as ruled by UK media regulator Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a significant failing in relation to accuracy".
Ofcom has directed the corporation to broadcast a peak-time announcement about its findings.
"Given this constitutes a serious breach of our regulations, we are instructing the broadcaster to transmit a announcement of our findings against it on BBC Two at nine o'clock in the evening, with a schedule to be confirmed," it said.
'Risk to Erode Confidence'
The watchdog's report stated: "Our probe determined that the programme's lack of disclosure that the presenter's parent served in a post in the Hamas-administered authority was significantly deceptive.
"It meant that the viewers did not have critical information which may have been extremely pertinent to their judgment of the narrator and the details he shared.
"Trust is at the center of the connection between a broadcaster and its viewers, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the potential to undermine the very considerable degrees of confidence that the public would have placed in a BBC factual programme about the Gaza conflict."
The film was removed from the online platform in the month of February after the boy's family links were revealed, and in the month of July an internal BBC review determined it infringed the corporation's editorial guidelines on truthfulness.
A representative for the broadcaster commented: "The authority's determination is in agreement with the findings of the corporation's inquiry, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with Ofcom's decision in its entirety. We will adhere to the sanction as soon as the timing and wording are finalised."