The public service broadcaster was found to have committed a "major breach" of broadcasting rules by failing to disclose that the presenter of a film about Gaza was the child of a Hamas official, as ruled by British broadcasting authority Ofcom.
An inquiry by Ofcom into Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The head of the BBC had already issued an apology, stating there had been "a significant failing in relation to accuracy".
The authority has directed the corporation to transmit a prime-time declaration about its conclusions.
"As this represents a major infringement of our regulations, we are instructing the broadcaster to transmit a statement of our determinations against it on BBC2 at 21:00, with a timing to be determined," the regulator stated.
'Risk to Erode Trust'
The authority's report stated: "The inquiry we conducted determined that the film's omission to reveal that the narrator's male guardian held a position in the Hamas-controlled authority was significantly deceptive.
"Consequently that the viewers did not have essential details which may have been very significant to their assessment of the narrator and the content he provided.
"Trust is at the heart of the relationship between a television network and its public, notably for a public service broadcaster such as the public broadcaster.
"This oversight had the risk to damage the significantly high levels of trust that audiences would have placed in a BBC factual programme about the conflict in Gaza."
The film was removed from the BBC's streaming service in February after the presenter's familial connections came to light, and in the month of July an broadcaster's internal assessment determined it breached the broadcaster's journalistic standards on factual correctness.
A corporation official stated: "The authority's determination is in agreement with the results of the internal assessment, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with Ofcom's decision in its entirety. We will comply with the sanction as soon as the timing and wording are determined."