The BBC was found to have committed a "serious breach" of industry standards by not revealing that the voice of a film about Gaza was the child of a Hamas official, as determined by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The BBC's director general had previously apologised, stating there had been "a serious error in relation to truthfulness".
The authority has ordered the broadcaster to transmit a evening declaration about its findings.
"Since this amounts to a serious breach of our regulations, we are instructing the corporation to transmit a message of our determinations against it on BBC Two at 21:00, with a date to be finalised," it said.
'Risk to Erode Trust'
The authority's report declared: "Our probe determined that the programme's lack of disclosure that the presenter's male guardian served in a post in the Hamas-controlled administration was substantially inaccurate.
"Consequently that the audience did not have vital facts which may have been very significant to their assessment of the voice and the information he shared.
"Confidence is at the core of the bond between a broadcaster and its public, notably for a state-funded media outlet such as the public broadcaster.
"This error had the potential to undermine the significantly high degrees of trust that the public would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The programme was pulled from the BBC's streaming service in the month of February after the presenter's family links came to light, and in this past July an internal BBC review concluded it infringed the corporation's editorial guidelines on truthfulness.
A representative for the broadcaster said: "The authority's determination is in accordance with the findings of the corporation's inquiry, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept Ofcom's decision in full. We will comply with the directive as soon as the timing and wording are finalised."