The public service broadcaster committed a "serious breach" of industry standards by not revealing that the voice of a programme about the Gaza situation was the offspring of a Hamas official, as determined by UK media regulator Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had earlier expressed regret, saying there had been "a serious error in relation to accuracy".
Ofcom has directed the corporation to broadcast a evening declaration about its conclusions.
"As this represents a major infringement of our regulations, we are instructing the corporation to transmit a announcement of our conclusions against it on BBC2 at 9pm, with a schedule to be finalised," it said.
'Risk to Undermine Trust'
The regulator's announcement stated: "The inquiry we conducted determined that the programme's lack of disclosure that the narrator's father held a role in the Hamas-administered administration was materially misleading.
"Consequently that the public did not have essential details which may have been highly relevant to their evaluation of the presenter and the details he shared.
"Credibility is at the heart of the relationship between a media organization and its viewers, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This failing had the risk to erode the very considerable degrees of confidence that the public would have placed in a factual film from the broadcaster about the conflict in Gaza."
The programme was pulled from the online platform in February after the narrator's personal associations emerged, and in the month of July an internal BBC review determined it infringed the corporation's content policies on factual correctness.
A BBC spokesperson stated: "The authority's determination is in line with the results of the corporation's inquiry, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the authority's determination in complete. We will follow the directive as soon as the timing and wording are determined."
