Officials say the only exception is Lalgarh on the state's border with Jharkhand where a tribal organisation, allegedly backed by Maoist rebels, is enforcing a boycott call to protest against alleged police atrocities, our correspondent reports.
Meanwhile, a suspected Maoist landmine attack on a polling centre in the state's Purulia district has left two people, including a policeman, injured.
Voting is being held in several phases in some of the states.
The first round on 16 April was marred by Maoist attacks in eastern and central India which killed at least 17 people. The second phase on 23 April saw less violence.
About two million security personnel are being deployed over the five-phase vote.
Votes will be counted on 16 May and the new parliament has to be constituted by 2 June.
The incumbent coalition, led by the Congress party, and parties led by the BJP are battling a host of smaller parties.
If no group wins a clear majority, the smaller regional parties could play a crucial role.
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