The public service broadcaster was found to have committed a "major breach" of media regulations by failing to disclose that the voice of a programme about the Gaza conflict was the child of a Hamas representative, as determined by regulatory body Ofcom.
An inquiry by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The BBC's director general had already issued an apology, saying there had been "a significant failing in relation to truthfulness".
The authority has instructed the BBC to broadcast a peak-time declaration about its findings.
"Given this constitutes a serious breach of our rules, we are ordering the corporation to broadcast a announcement of our findings against it on BBC2 at 21:00, with a timing to be confirmed," it said.
'Risk to Undermine Trust'
The watchdog's announcement declared: "The inquiry we conducted found that the documentary's lack of disclosure that the presenter's father served in a role in the Hamas-administered government was materially misleading.
"This implied that the viewers did not have essential details which may have been extremely pertinent to their evaluation of the presenter and the details he shared.
"Credibility is at the core of the connection between a television network and its public, notably for a public service broadcaster such as the BBC.
"This failing had the potential to undermine the very considerable amounts of confidence that the public would have put in a BBC factual programme about the Israel-Gaza war."
The film was pulled from the BBC's streaming service in February after the presenter's familial connections came to light, and in this past July an broadcaster's internal assessment found it infringed the broadcaster's content policies on truthfulness.
A BBC spokesperson stated: "The regulator's decision is in line with the results of the internal assessment, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept Ofcom's decision in its entirety. We will adhere to the sanction as soon as the timing and wording are determined."