The public service broadcaster was found to have committed a "serious breach" of industry standards by omitting to mention that the voice of a documentary about the Gaza conflict was the child of a Hamas official, as determined by regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has determined that the programme was "substantially inaccurate".
The head of the BBC had earlier expressed regret, saying there had been "a major oversight in relation to accuracy".
The authority has directed the corporation to broadcast a peak-time statement about its decisions.
"Given this constitutes a significant violation of our rules, we are instructing the BBC to air a statement of our findings against it on BBC Two at 21:00, with a date to be finalised," it said.
'Risk to Damage Credibility'
The regulator's report declared: "Our investigation determined that the documentary's lack of disclosure that the voice's father served in a role in the Hamas-run authority was significantly deceptive.
"It meant that the viewers did not have critical information which may have been extremely pertinent to their evaluation of the narrator and the information he shared.
"Confidence is at the heart of the relationship between a television network and its audience, especially for a state-funded media outlet such as the public broadcaster.
"This error had the risk to damage the exceptionally strong amounts of confidence that viewers would have invested in a BBC factual programme about the Gaza conflict."
The programme was removed from the BBC's streaming service in last February after the boy's family links came to light, and in this past July an broadcaster's internal assessment determined it breached the organization's content policies on accuracy.
A BBC spokesperson stated: "The Ofcom ruling is in line with the results of the corporation's inquiry, that there was a significant failing in the film in relation to the corporation's content standards on truthfulness, which aligns with clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with Ofcom's decision in complete. We will follow the sanction as soon as the date and wording are determined."
