The public service broadcaster committed a "significant breach" of media regulations by omitting to mention that the presenter of a documentary about Gaza was the child of a Hamas official, as determined by British broadcasting authority Ofcom.
An inquiry by Ofcom into the documentary titled Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had earlier expressed regret, noting there had been "a significant failing in relation to accuracy".
The regulator has directed the BBC to broadcast a peak-time declaration about its findings.
"Since this amounts to a significant violation of our regulations, we are ordering the corporation to air a message of our determinations against it on BBC Two at nine o'clock in the evening, with a timing to be confirmed," it said.
'Possibility to Undermine Trust'
The regulator's statement stated: "The inquiry we conducted determined that the documentary's lack of disclosure that the voice's parent occupied a post in the Hamas-controlled authority was substantially inaccurate.
"Consequently that the audience did not have critical information which may have been extremely pertinent to their judgment of the presenter and the content he provided.
"Trust is at the heart of the relationship between a broadcaster and its public, especially for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to damage the significantly high degrees of trust that the public would have put in a factual film from the broadcaster about the Israel-Gaza war."
The programme was pulled from the online platform in last February after the boy's family links were revealed, and in this past July an corporation's own inquiry found it breached the organization's editorial guidelines on accuracy.
A BBC spokesperson stated: "The authority's determination is in accordance with the conclusions of the corporation's inquiry, that there was a significant failing in the documentary in relation to the corporation's content standards on factual correctness, 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 its entirety. We will follow the sanction as soon as the timing and wording are finalised."