The British broadcaster committed a "significant breach" of media regulations by failing to disclose that the voice of a programme about the Gaza conflict was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by Ofcom into the documentary titled Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a significant failing in relation to accuracy".
The authority has directed the broadcaster to air a evening statement about its conclusions.
"As this represents a serious breach of our code, we are ordering the broadcaster to broadcast a message of our determinations against it on BBC Two at nine o'clock in the evening, with a date to be finalised," it said.
'Potential to Damage Confidence'
The authority's report stated: "Our investigation concluded that the documentary's omission to reveal that the presenter's parent held a role in the Hamas-run authority was substantially inaccurate.
"This implied that the public did not have critical information which may have been extremely pertinent to their assessment of the presenter and the content he provided.
"Confidence is at the center of the connection between a television network and its audience, particularly for a public service broadcaster such as the public broadcaster.
"This error had the potential to undermine the very considerable degrees of confidence that the public would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was pulled from the online platform in the month of February after the boy's personal associations came to light, and in July an broadcaster's internal assessment found it breached the broadcaster's editorial guidelines on truthfulness.
A BBC spokesperson said: "The Ofcom ruling is in accordance with the findings of Peter Johnston's review, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept the regulator's ruling in its entirety. We will comply with the sanction as soon as the date and wording are finalised."