The British broadcaster committed a "significant breach" of media regulations by omitting to mention that the narrator of a programme about Gaza was the son of a Hamas administrator, according to regulatory body Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a major oversight in relation to accuracy".
The regulator has ordered the broadcaster to broadcast a evening statement about its conclusions.
"As this represents a significant violation of our rules, we are directing the broadcaster to broadcast a announcement of our conclusions against it on BBC2 at 21:00, with a timing to be finalised," the statement read.
'Risk to Undermine Confidence'
The regulator's statement stated: "Our investigation determined that the documentary's failure to disclose that the narrator's father served in a position in the Hamas-administered administration was significantly deceptive.
"It meant that the public did not have essential details which may have been extremely pertinent to their assessment of the voice and the details he presented.
"Trust is at the center of the bond between a broadcaster and its viewers, notably for a national broadcasting corporation such as the BBC.
"This oversight had the possibility to erode the very considerable degrees of trust that the public would have put in a factual film from the broadcaster about the Israel-Gaza war."
The programme was withdrawn from iPlayer in February after the boy's familial connections were revealed, and in July an corporation's own inquiry found it breached the corporation's journalistic standards on factual correctness.
A representative for the broadcaster said: "The regulator's decision is in accordance with the results of the corporation's inquiry, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which reflects regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the authority's determination in full. We will comply with the directive as soon as the schedule and wording are finalised."