The public service broadcaster committed a "major breach" of industry standards by failing to disclose that the narrator of a documentary about Gaza was the son of a Hamas representative, as ruled by regulatory body Ofcom.
An probe by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The BBC's director general had earlier expressed regret, stating there had been "a major oversight in relation to factual correctness".
The regulator has ordered the corporation to transmit a peak-time declaration about its decisions.
"Since this amounts to a major infringement of our rules, we are ordering the broadcaster to air a statement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be finalised," it said.
'Risk to Undermine Credibility'
The authority's report stated: "The inquiry we conducted determined that the film's lack of disclosure that the narrator's parent held a post in the Hamas-administered authority was significantly deceptive.
"It meant that the viewers did not have essential details which may have been extremely pertinent to their judgment of the narrator and the information he presented.
"Confidence is at the center of the bond between a broadcaster and its viewers, particularly for a national broadcasting corporation such as the public broadcaster.
"This failing had the possibility to erode the very considerable degrees of trust that audiences would have placed in a BBC factual programme about the Gaza conflict."
The documentary was withdrawn from iPlayer in last February after the narrator's familial connections came to light, and in July an corporation's own inquiry determined it violated the organization's content policies on truthfulness.
A corporation official stated: "The regulator's decision is in line with the results of Peter Johnston's review, that there was a major oversight in the film in relation to the corporation's content standards on factual correctness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we comply with Ofcom's decision in complete. We will comply with the penalty as soon as the date and wording are determined."