The public service broadcaster committed a "major breach" of industry standards by failing to disclose that the voice of a programme about the Gaza situation was the child of a Hamas representative, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the programme was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, stating there had been "a major oversight in relation to truthfulness".
The authority has directed the broadcaster to transmit a prime-time statement about its findings.
"As this represents a significant violation of our regulations, we are directing the BBC to broadcast a message of our conclusions against it on BBC2 at 9pm, with a schedule to be determined," the statement read.
'Risk to Undermine Trust'
The watchdog's statement stated: "Our investigation found that the film's lack of disclosure that the voice's father served in a position in the Hamas-controlled government was significantly deceptive.
"This implied that the viewers did not have critical information which may have been very significant to their judgment of the presenter and the details he presented.
"Trust is at the core of the bond between a broadcaster and its public, notably for a state-funded media outlet such as the BBC.
"This failing had the risk to erode the very considerable degrees of credibility that the public would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The film was withdrawn from the BBC's streaming service in last February after the presenter's family links came to light, and in the month of July an broadcaster's internal assessment determined it infringed the organization's content policies on factual correctness.
A BBC spokesperson commented: "The authority's determination is in agreement with the results of Peter Johnston's review, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which reflects clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept the authority's determination in its entirety. We will follow the directive as soon as the timing and wording are confirmed."