The British broadcaster committed a "serious breach" of industry standards by failing to disclose that the presenter of a programme about the Gaza situation was the child of a Hamas official, as ruled by UK media regulator Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The head of the BBC had already issued an apology, saying there had been "a significant failing in relation to factual correctness".
The authority has directed the BBC to air a peak-time declaration about its decisions.
"Since this amounts to a major infringement of our rules, we are directing the broadcaster to broadcast a statement of our findings against it on BBC2 at 9pm, with a schedule to be confirmed," it said.
'Risk to Erode Credibility'
The watchdog's announcement stated: "Our investigation found that the documentary's omission to reveal that the presenter's male guardian held a position in the Hamas-run government was materially misleading.
"Consequently that the audience did not have essential details which may have been extremely pertinent to their judgment of the presenter and the information he presented.
"Confidence is at the heart of the connection between a media organization and its viewers, notably for a national broadcasting corporation such as the BBC.
"This error had the possibility to erode the very considerable levels of trust that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was withdrawn from the online platform in last February after the boy's familial connections came to light, and in the month of July an corporation's own inquiry concluded it breached the broadcaster's content policies on truthfulness.
A representative for the broadcaster said: "The regulator's decision is in accordance with the conclusions of the internal assessment, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with Ofcom's decision in complete. We will comply with the penalty as soon as the schedule and language are confirmed."