The British broadcaster was found to have committed a "major breach" of broadcasting rules by failing to disclose that the narrator of a programme about Gaza was the child of a Hamas representative, as determined by regulatory body Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The BBC's director general had already issued an apology, saying there had been "a major oversight in relation to truthfulness".
The regulator has ordered the broadcaster to broadcast a peak-time statement about its decisions.
"As this represents a significant violation of our rules, we are ordering the broadcaster to broadcast a message of our determinations against it on BBC2 at 9pm, with a date to be determined," the statement read.
'Risk to Erode Trust'
The authority's statement said: "Our investigation concluded that the programme's omission to reveal that the voice's parent served in a position in the Hamas-administered authority was significantly deceptive.
"It meant that the audience did not have critical information which may have been extremely pertinent to their evaluation of the voice and the details he provided.
"Trust is at the center of the connection between a media organization and its viewers, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the potential to erode the significantly high degrees of credibility that viewers would have invested in a factual film from the broadcaster about the Gaza conflict."
The documentary was pulled from iPlayer in last February after the boy's family links came to light, and in the month of July an internal BBC review determined it infringed the organization's editorial guidelines on accuracy.
A representative for the broadcaster commented: "The regulator's decision is in line with the findings of the corporation's inquiry, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with Ofcom's decision in complete. We will follow the directive as soon as the date and wording are determined."