The British broadcaster was found to have committed a "serious breach" of industry standards by omitting to mention that the presenter of a film about Gaza was the offspring of a Hamas administrator, as determined by UK media regulator Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The regulator has directed the BBC to air a peak-time declaration about its conclusions.
"Given this constitutes a significant violation of our code, we are instructing the corporation to transmit a announcement of our conclusions against it on BBC Two at 21:00, with a date to be confirmed," the regulator stated.
'Potential to Undermine Trust'
The authority's statement said: "Our probe concluded that the programme's failure to disclose that the presenter's parent held a position in the Hamas-run administration was significantly deceptive.
"This implied that the public did not have vital facts which may have been extremely pertinent to their evaluation of the presenter and the details he shared.
"Trust is at the core of the bond between a media organization and its public, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the risk to erode the very considerable levels of confidence that audiences would have placed in a factual film from the broadcaster about the Israel-Gaza war."
The programme was pulled from iPlayer in February after the boy's family links emerged, and in this past July an internal BBC review found it infringed the broadcaster's content policies on factual correctness.
A corporation official said: "The Ofcom ruling is in accordance with the results of the corporation's inquiry, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the authority's determination in complete. We will follow the directive as soon as the schedule and language are determined."