In Thailand, there was broad anger over the crime, which the police said appeared to have been driven by jealousy. Mr. Wongtalay had fought with his wife the night before the killing after searching her phone and accusing her of having another relationship.

The video showed Mr. Wongtalay fixing a noose around his daughter’s neck and then dropping her off the side of a building. After a burst of crying, he climbed over the side to retrieve her body. His subsequent suicide was not shown online.

A second video of the police taking both of the bodies down that night remained on Facebook.

Facebook has been under scrutiny for what role it should play in overseeing the billions of posts and videos that are uploaded on its site each day. Facebook’s founder, Mark Zuckerberg, addressed the issue at a company conference this month in response to a case in which a man in Cleveland posted a video of himself shooting and killing a 74-year-old stranger.

The deaths in Thailand highlight the global scope of the problem. As Facebook has pushed to further ensconce itself in the lives of its users, it has urged them to share their most intimate experiences on its site. That has resulted in a flood of posts and videos in different languages, cultural contexts and time zones across the world. Accidents and crimes have also occasionally shown up, and patrolling that has proved difficult.

Last summer, an Italian wing-suit base jumper streamed his own death in an accident, while in January, three men in Sweden were arrested and accused of raping a woman and broadcasting it to a private Facebook group. In February, two journalists were fatally shot during a Facebook Live broadcast in the Dominican Republic.