The public service broadcaster committed a "serious breach" of industry standards by omitting to mention that the narrator of a film about the Gaza conflict was the offspring of a Hamas representative, according to UK media regulator Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The head of the BBC had earlier expressed regret, saying there had been "a major oversight in relation to truthfulness".
The authority has ordered the corporation to transmit a evening statement about its decisions.
"As this represents a significant violation of our regulations, we are instructing the corporation to transmit a announcement of our findings against it on BBC2 at 21:00, with a timing to be determined," it said.
'Potential to Erode Trust'
The regulator's announcement said: "The inquiry we conducted concluded that the film's lack of disclosure that the narrator's father served in a post in the Hamas-run government was substantially inaccurate.
"It meant that the audience did not have essential details which may have been extremely pertinent to their assessment of the narrator and the information he shared.
"Trust is at the heart of the relationship between a media organization and its public, notably for a state-funded media outlet such as the BBC.
"This error had the potential to damage the significantly high levels of trust that the public would have put in a BBC factual programme about the conflict in Gaza."
The programme was pulled from the BBC's streaming service in last February after the narrator's family links were revealed, and in this past July an broadcaster's internal assessment determined it breached the organization's content policies on truthfulness.
A corporation official commented: "The regulator's decision is in accordance with the findings of Peter Johnston's review, that there was a major oversight in the programme in relation to the corporation's content standards on truthfulness, which corresponds to Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we accept Ofcom's decision in complete. We will adhere to the penalty as soon as the date and wording are determined."
