Police spokesman Aminur Rashid told Bdnews24.com extra manpower was called in to break up the mob of several hundred people in and around the the city of Chittagong.
The rampage began Saturday when Muslims said they had found a Facebook site posted by a Buddhist man they alleged defamed the Muslim Koran holy book, Voice of America reported.
At one Buddhist temple, an ancient statue was smashed and at a Hindu facility, a sacred statue was set on fire, Bdnews.com said.
Earlier Saturday, Muslim mobs torched 30 Buddhist shops and houses, while more than 100 other buildings were vandalized, the report said.
There was no immediate report of injuries or arrests.