The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the voice of a film about Gaza was the offspring of a Hamas official, according to regulatory body Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The chief executive of the broadcaster had already issued an apology, stating there had been "a serious error in relation to factual correctness".
The regulator has ordered the broadcaster to broadcast a peak-time announcement about its findings.
"As this represents a significant violation of our rules, we are ordering the BBC to air a announcement of our findings against it on BBC Two at 21:00, with a timing to be confirmed," the regulator stated.
'Risk to Erode Credibility'
The authority's announcement declared: "Our investigation found that the programme's failure to disclose that the narrator's father occupied a position in the Hamas-administered authority was materially misleading.
"This implied that the public did not have vital facts which may have been very significant to their evaluation of the voice and the details he presented.
"Credibility is at the core of the bond between a broadcaster and its public, particularly for a state-funded media outlet such as the public broadcaster.
"This error had the risk to undermine the significantly high degrees of trust that the public would have placed in a BBC factual programme about the Gaza conflict."
The film was pulled from iPlayer in February after the boy's familial connections were revealed, and in the month of July an internal BBC review determined it breached the broadcaster's content policies on factual correctness.
A corporation official said: "The Ofcom ruling is in accordance with the conclusions of the corporation's inquiry, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on factual correctness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept Ofcom's decision in complete. We will follow the sanction as soon as the schedule and language are determined."