The British broadcaster was found to have committed a "significant breach" of industry standards by omitting to mention that the voice of a programme about the Gaza conflict was the child of a Hamas administrator, according to British broadcasting authority Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
The BBC's director general had earlier expressed regret, noting there had been "a major oversight in relation to factual correctness".
Ofcom has ordered the corporation to transmit a evening declaration about its findings.
"As this represents a major infringement of our regulations, we are instructing the corporation to transmit a announcement of our conclusions against it on BBC Two at nine o'clock in the evening, with a date to be finalised," it said.
'Possibility to Undermine Trust'
The authority's announcement stated: "Our investigation found that the film's lack of disclosure that the narrator's male guardian served in a post in the Hamas-controlled government was significantly deceptive.
"This implied that the public did not have critical information which may have been very significant to their judgment of the presenter and the details he provided.
"Trust is at the core of the connection between a television network and its public, particularly for a state-funded media outlet such as the public broadcaster.
"This oversight had the potential to undermine the significantly high levels of trust that audiences would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The film was withdrawn from the online platform in February after the narrator's family links were revealed, and in the month of July an corporation's own inquiry found it infringed the organization's journalistic standards on factual correctness.
A BBC spokesperson stated: "The authority's determination is in agreement with the results of the internal assessment, that there was a significant failing in the programme in relation to the corporation's content standards on truthfulness, which reflects regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the regulator's ruling in full. We will follow the directive as soon as the schedule and language are determined."