Nikhil Chandra Joarder, 50, a resident of the Dubail village under Gopalpur upazila of the Tangail district, was hacked to death this afternoon.
"Three assailants entered Nikhil's house-cum shop and slit his throat," Gopalpur police station Officer-in-Charge Mohammad Abdul Jalil told reporters.
He said the assailants used a motorbike and fled the scene immediately after the murder. They left a black bag at the spot, which contained three to four bomb-like objects.
He had been arrested for allegedly making the comments and then released. "It can be the reason for the murder," The Daily Star quoted Jalil as saying.
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Meanwhile, US-based private SITE Intelligence Group said the Islamic State has claimed the killing.
ISIS' Amaq Agency reported the group's responsibility for killing the Hindu tailor for blasphemy in Tangail district in Bangladesh, it said in a tweet.
The local media reports said that Nikhil served three months of imprisonment in 2012 when he was arrested for commenting "derogatory comments" against the Prophet.
There have been systematic assaults in Bangladesh in recent months specially targeting minorities, secular bloggers, intellectuals and foreigners.
In the recent attacks, a liberal professor was brutally hacked to death last Saturday by machete-wielding ISIS militants who slit his throat near his home in Rajshahi city.
Two days later on Monday, Bangladesh's first gay magazine editor was brutally murdered along with a friend in his flat in Dhaka by Islamists.
Last year, four prominent secular bloggers were killed with machetes, one inside his own home.
In most of the cases, Islamic State or al-Qaeda in Indian Sub Continent claimed the responsibility.
Prime Minister Sheikh Hasina, however, repeatedly denied existence of any foreign terrorist groups in the country and attributed the deadly attacks on homegrown extremists backed by main opposition outside parliament BNP and its crucial ally fundamentalist Jamaat-e-Islami.