The public service broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the voice of a programme about the Gaza situation was the offspring of a Hamas representative, according to British broadcasting authority Ofcom.
An inquiry by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has concluded that the programme was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, stating there had been "a significant failing in relation to truthfulness".
The regulator has instructed the broadcaster to broadcast a prime-time statement about its conclusions.
"Since this amounts to a major infringement of our rules, we are directing the broadcaster to air a announcement of our conclusions against it on BBC Two at nine o'clock in the evening, with a date to be finalised," the statement read.
'Possibility to Undermine Trust'
The regulator's announcement said: "Our probe concluded that the documentary's failure to disclose that the voice's parent served in a position in the Hamas-controlled administration was materially misleading.
"Consequently that the viewers did not have vital facts which may have been highly relevant to their assessment of the presenter and the information he shared.
"Trust is at the heart of the relationship between a television network and its public, notably for a national broadcasting corporation such as the BBC.
"This error had the possibility to undermine the significantly high levels of confidence that viewers would have put in a factual film from the broadcaster about the Gaza conflict."
The programme was pulled from the BBC's streaming service in last February after the boy's personal associations came to light, and in this past July an broadcaster's internal assessment concluded it breached the broadcaster's content policies on accuracy.
A BBC spokesperson commented: "The regulator's decision is in line with the results of the internal assessment, that there was a significant failing in the documentary in relation to the corporation's content standards on truthfulness, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept Ofcom's decision in its entirety. We will adhere to the directive as soon as the schedule and language are confirmed."