The public service broadcaster committed a "serious breach" of media regulations by not revealing that the voice of a programme about the Gaza situation was the son of a Hamas administrator, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had previously apologised, saying there had been "a major oversight in relation to factual correctness".
The regulator has ordered the BBC to air a prime-time statement about its decisions.
"Since this amounts to a serious breach of our rules, we are ordering the broadcaster to broadcast a announcement of our conclusions against it on BBC Two at 21:00, with a timing to be determined," the statement read.
'Potential to Erode Confidence'
The authority's report said: "Our investigation found that the film's failure to disclose that the voice's father served in a post in the Hamas-controlled administration was substantially inaccurate.
"Consequently that the audience did not have essential details which may have been highly relevant to their evaluation of the presenter and the information he provided.
"Trust is at the center of the relationship between a television network and its viewers, notably for a state-funded media outlet such as the public broadcaster.
"This error had the risk to undermine the very considerable amounts of confidence that viewers would have invested in a documentary produced by the BBC about the Gaza conflict."
The programme was pulled from iPlayer in February after the presenter's familial connections were revealed, and in July an internal BBC review determined it breached the broadcaster's editorial guidelines on truthfulness.
A representative for the broadcaster commented: "The Ofcom ruling is in agreement with the results of the corporation's inquiry, that there was a significant failing in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the authority's determination in complete. We will adhere to the sanction as soon as the date and language are determined."
