Four police officers were injured in two separate landmine blasts in Chattisgarh.
Voting came to a total halt in some rural areas as armed fighters also blocked roads and snatched electronic voting machines the Bastar district of the state.
Maoist fighters are known to be very active in the tribal-dominated Bastar district.
Like Chhattisgarh, Jammu and Kashmir will hold staged elections in an attempt to contain attacks and ensure security.
Both Muslim separatist leaders in Indian-administered Kashmir and Maoists in Chhattisgarh have called for voters to boycott the elections.
Maoist fighters say they are fighting for the rights of poor farmers and landless labourers, and regularly target government property and police officers.
Manmohan Singh, the Indian prime minister, has described the Maoist insurgency as the gravest threat to India's internal security.