The CPI(M) leader described the police action as "unprecedented".
BJP state president Rahul Sinha said there had been "dangerous cartoons" in the past against Indira Gandhi, Atal Behari Vajpayee, LK Advani, Jyoti Basu and others "but no political party took any action against any cartoonist."
"Are we really heading for a party-sponsored emergency?" Sinha said.
A leader of TMC ally, Congress' Om Prakash Mishra dubbed the arrest as "unfortunate".