The British broadcaster engaged in a "serious breach" of industry standards by omitting to mention that the presenter of a documentary about the Gaza situation was the offspring of a Hamas representative, as ruled by UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the documentary was "substantially inaccurate".
The BBC's director general had already issued an apology, saying there had been "a serious error in relation to accuracy".
The regulator has instructed the broadcaster to broadcast a prime-time statement about its conclusions.
"As this represents a significant violation of our regulations, we are directing the BBC to air a message of our determinations against it on BBC2 at nine o'clock in the evening, with a schedule to be confirmed," the statement read.
'Risk to Damage Credibility'
The regulator's announcement declared: "Our probe determined that the documentary's lack of disclosure that the narrator's parent held a post in the Hamas-administered government was substantially inaccurate.
"It meant that the viewers did not have essential details which may have been very significant to their judgment of the narrator and the information he presented.
"Confidence is at the center of the connection between a broadcaster and its public, particularly for a national broadcasting corporation such as the public broadcaster.
"This error had the risk to damage the significantly high levels of confidence that audiences would have put in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from the BBC's streaming service in February after the boy's personal associations emerged, and in July an internal BBC review concluded it breached the broadcaster's editorial guidelines on factual correctness.
A BBC spokesperson commented: "The Ofcom ruling is in accordance with the findings of Peter Johnston's review, that there was a serious error in the film in relation to the corporation's content standards on factual correctness, which aligns with regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with Ofcom's decision in full. We will comply with the directive as soon as the schedule and language are finalised."