The British broadcaster was found to have committed a "significant breach" of broadcasting rules by omitting to mention that the narrator of a programme about the Gaza situation was the child of a Hamas administrator, as ruled by regulatory body Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The chief executive of the broadcaster had previously apologised, noting there had been "a major oversight in relation to truthfulness".
The authority has instructed the BBC to transmit a evening statement about its conclusions.
"As this represents a serious breach of our regulations, we are instructing the BBC to air a statement of our findings against it on BBC2 at 9pm, with a timing to be confirmed," it said.
'Risk to Erode Credibility'
The authority's statement stated: "The inquiry we conducted found that the programme's failure to disclose that the narrator's male guardian held a role in the Hamas-run authority was substantially inaccurate.
"Consequently that the viewers did not have essential details which may have been very significant to their assessment of the narrator and the content he provided.
"Trust is at the core of the connection between a broadcaster and its viewers, particularly for a state-funded media outlet such as the BBC.
"This oversight had the possibility to undermine the very considerable degrees of trust that the public would have placed in a BBC factual programme about the Gaza conflict."
The film was pulled from the BBC's streaming service in last February after the boy's personal associations were revealed, and in the month of July an internal BBC review found it violated the corporation's content policies on accuracy.
A corporation official said: "The regulator's decision is in line with the conclusions of the internal assessment, that there was a significant failing in the film in relation to the corporation's content standards on accuracy, which aligns with Rule 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the regulator's ruling in full. We will follow the sanction as soon as the schedule and wording are finalised."