The public service broadcaster committed a "major breach" of media regulations by not revealing that the presenter of a programme about Gaza was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The BBC's director general had previously apologised, stating there had been "a significant failing in relation to accuracy".
Ofcom has instructed the corporation to air a peak-time statement about its findings.
"Given this constitutes a significant violation of our rules, we are directing the corporation to air a statement of our findings against it on BBC2 at 21:00, with a date to be finalised," the statement read.
'Risk to Damage Confidence'
The regulator's announcement stated: "The inquiry we conducted found that the documentary's failure to disclose that the narrator's male guardian occupied a post in the Hamas-administered government was materially misleading.
"Consequently that the audience did not have vital facts which may have been highly relevant to their assessment of the presenter and the content he provided.
"Credibility is at the core of the bond between a television network and its public, particularly for a public service broadcaster such as the BBC.
"This oversight had the possibility to damage the very considerable degrees of trust that the public would have invested in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from iPlayer in February after the boy's personal associations emerged, and in this past July an internal BBC review determined it breached the corporation's editorial guidelines on factual correctness.
A corporation official commented: "The authority's determination is in accordance with the conclusions of the internal assessment, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to regulation 2.2 of the regulator's media standards.
"We have apologised for this and we comply with the regulator's ruling in its entirety. We will comply with the sanction as soon as the timing and wording are determined."