The British broadcaster committed a "serious breach" of media regulations by omitting to mention that the voice of a film about the Gaza situation was the son of a Hamas official, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The BBC's director general had earlier expressed regret, stating there had been "a significant failing in relation to factual correctness".
Ofcom has directed the broadcaster to air a prime-time announcement about its conclusions.
"Since this amounts to a serious breach of our rules, we are instructing the broadcaster to transmit a announcement of our findings against it on BBC2 at nine o'clock in the evening, with a schedule to be finalised," the regulator stated.
'Possibility to Damage Trust'
The regulator's statement said: "Our probe found that the programme's failure to disclose that the presenter's father occupied a position in the Hamas-controlled government was materially misleading.
"It meant that the audience did not have essential details which may have been very significant to their judgment of the presenter and the information he presented.
"Trust is at the heart of the bond between a television network and its audience, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the possibility to damage the very considerable levels of trust that viewers would have put in a BBC factual programme about the Israel-Gaza war."
The documentary was removed from the BBC's streaming service in February after the presenter's family links were revealed, and in this past July an corporation's own inquiry concluded it breached the corporation's content policies on factual correctness.
A corporation official said: "The regulator's decision is in line with the conclusions 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 corresponds to clause 2.2 of the regulator's media standards.
"We have apologised for this and we agree with the authority's determination in its entirety. We will follow the directive as soon as the schedule and wording are confirmed."