The public service broadcaster was found to have committed a "major breach" of media regulations by omitting to mention that the narrator of a programme about the Gaza conflict was the son of a Hamas administrator, as determined by UK media regulator Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had earlier expressed regret, noting there had been "a significant failing in relation to truthfulness".
The regulator has directed the corporation to air a evening statement about its conclusions.
"Since this amounts to a significant violation of our regulations, we are instructing the broadcaster to air a message of our determinations against it on the BBC's second channel at 9pm, with a timing to be finalised," it said.
'Potential to Undermine Credibility'
The authority's announcement said: "Our investigation found that the documentary's lack of disclosure that the voice's male guardian held a post in the Hamas-run authority was significantly deceptive.
"Consequently that the public did not have critical information which may have been extremely pertinent to their assessment of the presenter and the information he provided.
"Trust is at the heart of the relationship between a television network and its audience, particularly for a public service broadcaster such as the public broadcaster.
"This oversight had the risk to undermine the exceptionally strong amounts of credibility that the public would have placed in a BBC factual programme about the Gaza conflict."
The film was withdrawn from iPlayer in the month of February after the boy's familial connections came to light, and in the month of July an corporation's own inquiry found it violated the broadcaster's editorial guidelines on accuracy.
A corporation official stated: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which reflects Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the regulator's ruling in full. We will follow the directive as soon as the timing and language are determined."