The British broadcaster was found to have committed a "serious breach" of broadcasting rules by failing to disclose that the presenter of a programme about Gaza was the offspring of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The BBC's director general had earlier expressed regret, noting there had been "a significant failing in relation to truthfulness".
Ofcom has directed the BBC to broadcast a prime-time statement about its conclusions.
"Given this constitutes a serious breach of our rules, we are directing the BBC to broadcast a statement of our conclusions against it on BBC Two at 21:00, with a timing to be confirmed," it said.
'Risk to Erode Confidence'
The regulator's announcement stated: "Our investigation concluded that the documentary's omission to reveal that the voice's parent held a post in the Hamas-run authority was significantly deceptive.
"It meant that the viewers did not have essential details which may have been very significant to their evaluation of the voice and the details he presented.
"Trust is at the core of the connection between a television network and its viewers, notably for a national broadcasting corporation such as the BBC.
"This error had the possibility to undermine the significantly high levels of trust that the public would have invested in a documentary produced by the BBC about the Gaza conflict."
The film was removed from iPlayer in February after the boy's family links emerged, and in July an broadcaster's internal assessment found it violated the broadcaster's editorial guidelines on truthfulness.
A BBC spokesperson commented: "The regulator's decision is in agreement with the conclusions of Peter Johnston's review, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to clause 2.2 of the regulator's media standards.
"We issued an apology for this and we accept Ofcom's decision in its entirety. We will comply with the sanction as soon as the schedule and language are finalised."