The British broadcaster was found to have committed a "major breach" of industry standards by not revealing that the presenter of a film about the Gaza conflict was the offspring of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An inquiry by Ofcom into Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The BBC's director general had earlier expressed regret, saying there had been "a serious error in relation to truthfulness".
The authority has directed the BBC to broadcast a peak-time declaration about its decisions.
"Since this amounts to a significant violation of our code, we are ordering the BBC to air a statement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a date to be confirmed," it said.
'Risk to Erode Credibility'
The regulator's report stated: "The inquiry we conducted determined that the film's failure to disclose that the presenter's father served in a post in the Hamas-controlled administration was materially misleading.
"This implied that the public did not have vital facts which may have been very significant to their judgment of the presenter and the content he shared.
"Trust is at the heart of the bond between a television network and its viewers, notably for a state-funded media outlet such as the public broadcaster.
"This error had the possibility to erode the very considerable amounts of credibility that viewers would have placed in a BBC factual programme about the Israel-Gaza war."
The documentary was removed from iPlayer in last February after the boy's familial connections emerged, and in this past July an broadcaster's internal assessment concluded it violated the corporation's journalistic standards on truthfulness.
A corporation official said: "The Ofcom ruling is in accordance with the results of the internal assessment, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with Ofcom's decision in complete. We will adhere to the directive as soon as the date and language are confirmed."
