In the first attack, an ancient temple was set on fire by miscreants who also damaged several idols in the Bagerhat district, bdnews24.Com reported.
Priest Pradip Bhattacharya said he shouted for help after noticing smoke belching out of the temple around 8:30 am.
"But, by then, the miscreants had damaged several idols including the one of Durga and set fire to those of Laxmi, Saraswati, Ganesh and Kartik," the priest was quoted as saying.
Superintendent of Police in Bagerhat Mohd Nizamul Haq Molla said police had already begun raids to arrest the vandals.
The owner Dasharath Roy has claimed that some local BNP supporters might have been behind the attack as they wanted him not to take part in local elections to be held on Sunday.