The public service broadcaster committed a "significant breach" of industry standards by not revealing that the voice of a programme about the Gaza situation was the son of a Hamas official, as ruled by regulatory body Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The BBC's director general had earlier expressed regret, noting there had been "a major oversight in relation to truthfulness".
The regulator has directed the broadcaster to broadcast a prime-time statement about its findings.
"As this represents a significant violation of our code, we are ordering the BBC to broadcast a message of our findings against it on BBC2 at nine o'clock in the evening, with a schedule to be confirmed," the regulator stated.
'Possibility to Undermine Trust'
The watchdog's announcement said: "Our investigation concluded that the film's failure to disclose that the presenter's parent held a position in the Hamas-administered administration was significantly deceptive.
"This implied that the viewers did not have vital facts which may have been extremely pertinent to their evaluation of the presenter and the content he presented.
"Credibility is at the core of the connection between a media organization and its viewers, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the potential to undermine the significantly high degrees of credibility that audiences would have placed in a factual film from the broadcaster about the conflict in Gaza."
The film was pulled from the BBC's streaming service in February after the narrator's family links emerged, and in July an broadcaster's internal assessment determined it infringed the organization's journalistic standards on truthfulness.
A corporation official stated: "The regulator's decision is in accordance with the results of the internal assessment, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on accuracy, which reflects regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with the regulator's ruling in complete. We will comply with the directive as soon as the schedule and wording are determined."
