The public service broadcaster was found to have committed a "serious breach" of media regulations by failing to disclose that the narrator of a programme about the Gaza conflict was the offspring of a Hamas official, as determined by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The head of the BBC had earlier expressed regret, saying there had been "a major oversight in relation to truthfulness".
The regulator has ordered the corporation to air a prime-time declaration about its findings.
"Since this amounts to a major infringement of our regulations, we are ordering the broadcaster to air a message of our determinations against it on the BBC's second channel at 21:00, with a date to be determined," it said.
'Potential to Erode Credibility'
The watchdog's statement declared: "Our probe concluded that the documentary's omission to reveal that the presenter's parent occupied a position in the Hamas-run authority was significantly deceptive.
"This implied that the public did not have essential details which may have been highly relevant to their assessment of the voice and the details he shared.
"Trust is at the core of the connection between a broadcaster and its public, notably for a public service broadcaster such as the public broadcaster.
"This failing had the potential to undermine the significantly high levels of credibility that the public would have put in a BBC factual programme about the Gaza conflict."
The documentary was removed from iPlayer in last February after the boy's familial connections emerged, and in this past July an internal BBC review concluded it breached the corporation's journalistic standards on accuracy.
A BBC spokesperson stated: "The regulator's decision is in accordance with the findings of the internal assessment, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on accuracy, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the authority's determination in full. We will follow the penalty as soon as the date and wording are confirmed."