The public service broadcaster was found to have committed a "serious breach" of media regulations by omitting to mention that the voice of a documentary about the Gaza situation was the son of a Hamas official, according to regulatory body Ofcom.
An probe by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The head of the BBC had already issued an apology, stating there had been "a significant failing in relation to truthfulness".
The authority has ordered the broadcaster to air a peak-time declaration about its decisions.
"As this represents a serious breach of our regulations, we are instructing the corporation to broadcast a message of our findings against it on BBC Two at 9pm, with a date to be determined," the regulator stated.
'Possibility to Damage Trust'
The authority's report stated: "Our probe determined that the film's failure to disclose that the presenter's male guardian held a post in the Hamas-controlled authority was significantly deceptive.
"It meant that the audience did not have vital facts which may have been very significant to their evaluation of the presenter and the information he shared.
"Confidence is at the core of the bond 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 erode the exceptionally strong amounts of credibility that viewers would have placed in a BBC factual programme about the conflict in Gaza."
The programme was removed from iPlayer in the month of February after the narrator's familial connections were revealed, and in July an broadcaster's internal assessment found it breached the broadcaster's journalistic standards on factual correctness.
A BBC spokesperson said: "The regulator's decision is in accordance with the findings of the internal assessment, that there was a serious error in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the regulator's ruling in complete. We will follow the directive as soon as the timing and wording are finalised."