The British broadcaster was found to have committed a "significant breach" of broadcasting rules by omitting to mention that the voice of a film about the Gaza situation was the offspring of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a major oversight in relation to truthfulness".
The regulator has ordered the corporation to broadcast a evening statement about its findings.
"Since this amounts to a significant violation of our code, we are directing the broadcaster to transmit a message of our conclusions against it on BBC2 at nine o'clock in the evening, with a date to be determined," it said.
'Potential to Damage Confidence'
The regulator's report declared: "The inquiry we conducted found that the film's omission to reveal that the presenter's father occupied a position in the Hamas-run government was significantly deceptive.
"Consequently that the public did not have essential details which may have been extremely pertinent to their assessment of the narrator and the information he provided.
"Confidence is at the core of the bond between a media organization and its viewers, notably for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to undermine the very considerable levels of trust that audiences would have invested in a factual film from the broadcaster about the conflict in Gaza."
The documentary was removed from iPlayer in February after the boy's personal associations came to light, and in this past July an corporation's own inquiry found it infringed the corporation's editorial guidelines on factual correctness.
A BBC spokesperson commented: "The Ofcom ruling is in line with the findings of the internal assessment, that there was a major oversight in the film in relation to the corporation's content standards on factual correctness, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept the authority's determination in its entirety. We will adhere to the sanction as soon as the timing and wording are determined."