The public service broadcaster engaged in a "serious breach" of media regulations by omitting to mention that the narrator of a film about Gaza was the child of a Hamas representative, as determined by UK media regulator Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The BBC's director general had previously apologised, stating there had been "a serious error in relation to accuracy".
Ofcom has directed the BBC to broadcast a prime-time statement about its findings.
"As this represents a significant violation of our rules, we are instructing the broadcaster to transmit a announcement of our conclusions against it on the BBC's second channel at 21:00, with a timing to be finalised," it said.
'Potential to Erode Trust'
The regulator's announcement stated: "Our investigation concluded that the programme's failure to disclose that the presenter's male guardian served in a role in the Hamas-controlled authority was substantially inaccurate.
"This implied that the viewers did not have critical information which may have been very significant to their evaluation of the presenter and the content he presented.
"Trust is at the heart of the relationship between a broadcaster and its viewers, especially for a public service broadcaster such as the BBC.
"This error had the potential to damage the exceptionally strong amounts of credibility that viewers would have placed in a BBC factual programme about the conflict in Gaza."
The documentary was withdrawn from iPlayer in last February after the narrator's personal associations emerged, and in the month of July an broadcaster's internal assessment determined it breached the corporation's content policies on factual correctness.
A corporation official said: "The Ofcom ruling is in line with the results of the corporation's inquiry, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on truthfulness, which reflects clause 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the authority's determination in its entirety. We will comply with the sanction as soon as the timing and wording are confirmed."