The public service broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the voice of a film about the Gaza conflict was the child of a Hamas official, according to regulatory body Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The head of the BBC had already issued an apology, saying there had been "a significant failing in relation to truthfulness".
The authority has directed the corporation to broadcast a peak-time declaration about its findings.
"Given this constitutes a significant violation of our rules, we are instructing the broadcaster to air a announcement of our findings against it on BBC2 at nine o'clock in the evening, with a timing to be determined," the statement read.
'Risk to Erode Credibility'
The authority's statement said: "Our investigation concluded that the programme's failure to disclose that the presenter's father served in a post in the Hamas-controlled authority was significantly deceptive.
"It meant that the public did not have vital facts which may have been highly relevant to their judgment of the voice and the content he shared.
"Credibility is at the heart of the bond between a television network and its public, particularly for a public service broadcaster such as the public broadcaster.
"This failing had the risk to erode the significantly high levels of confidence that viewers would have placed in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from the BBC's streaming service in February after the presenter's personal associations were revealed, and in the month of July an internal BBC review concluded it infringed the organization's journalistic standards on factual correctness.
A representative for the broadcaster commented: "The regulator's decision is in line with the results of the corporation's inquiry, that there was a serious error in the documentary in relation to the corporation's content standards on factual correctness, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with Ofcom's decision in full. We will follow the sanction as soon as the schedule and wording are determined."
