According to the report, the man recorded his own death in the town of Pataudi in the northern Indian state of Haryana.
Police said Amit Chauhan, who was only 27, began a Facebook Live stream shortly after his wife walked out on him, taking their two children with her.
However, the video ended abruptly.
In the second clip, he was seen killing himself.
Both videos have been viewed around 5,000 times and shared over 50 times.
Amit's parents heard about the incident late at night and cremated his body early in the morning without informing the authorities.
Police spokesperson Subhash Boken said the police heard about the incident after an anonymous call around 10pm.
Mr Boken added: '[The wife] left her in-laws home on Monday after a tiff with her husband and called her parents, who took her to their house in a village near Sohna.
'Anguished, Chauhan hanged himself and the posted a video of the suicide on Facebook.'
He said he was 'in depression' and 'being treated'.
Deputy commissioner Sumit Kuhar said: 'The family had already cremated the body in the village and they said he was mentally disturbed and was undergoing treatment for last six months.'
Since his death was reported, local authorities have launched an investigation.
It comes after a 43-year-old builder from Cardiff hanged himself on Paltalk, a controversial chat site where users can stream video to strangers.
The victim, who had not been named last night, set up a webcam and beamed his suicide to other users around the world as online bullies taunted him.
The trolls – including some based in Britain – encouraged him to go through with it, saying: 'Why don't you just do it? Your life isn't worth it.' SHARE THIS STORY USING ANY OF THE BUTTON BELOW ⬇ PLACE YOUR TEXT ADVERT BELOW ⬇⬇⬇