Bhatpara's Ghoshpara and Kankinara areas were more violent as workers of BJP and Trinamool Congress clashed and hurled bombs at one another.
Several police vehicles were ransacked by the agitators with one vehicle overturned.
Scuffles between agitators and police personnel broke out and eventually, police resorted to baton charge in order to control the situation. Rapid Action Force was also deployed on the spot.
"We have asked for a factual report from the district administration. Forces have reached the spot," Additional Chief Electoral Officer Sanjay Basu said.
According to sources, the disturbances at Kankinara followed Trinamool candidate Madan Mitra's visit to the spot.
Mitra had rushed after getting reports of an illegal gathering near a polling booth of Kankinara High School.
He was stopped by the central forces from going inside.
"You will only let people go after checking their identity," Mitra told the officers.
Earlier, Mitra said that if he wanted he could easily remove all the outsiders who gather near booths but his party did not believe in muscle power.
The by-polls were necessitated after Arjun Singh, who defected to the BJP from Trinamool Congress, resigned as Bhatpara's MLA to contest the Lok Sabha polls.
His son Pawan Kumar Singh is fighting the Assembly by-polls on a BJP ticket.
"We want all the people to come and vote. But Arjun Singh is trying to create disturbance," Mitra added.
Trinamool filed a complaint with the Election Commission, accusing the BJP of inciting violence across the constituency while the saffron party termed the allegations baseless.
The BJP said widespread violence across the constituency was provoked by Trinamool- supported goons who were trying to intimidate voters.
"They are afraid of their defeat that is why Trinamool is resorting to violence. They are not confident about their victory," BJP National General Secretary Kailash Vijayvargiya said.
On Saturday, vehicles were set ablaze in the area and bombs were hurled. Both BJP and Trinamool had pointed fingers at each other.