At the end of polling, 75 percent voter turnout was recorded in West Bengal, while only 67 percent was tallied in Assam.
The current Assembly elections are crucial for Prime Minister Narendra Modi and his Bharatiya Janata Party (BJP), to increase their hold in the Upper parliament, where they are the minority.
In Assam, the BJP is trying to oust Chief Minister Tarun Gogoi, who has come under pressure from anti-incumbent voters.
Sarbanand Sonowal, candidate for the post of Chief Minister from the BJP was confident that his party would win the elections.
"Congress was a total failure in terms of development, now the people want development in the state. So they will vote for the BJP", Sarbanand Sonowal said.
Three more Indian states will go for polls in the coming days. These polls will ultimately decide the future of Modi and the BJP determining how he will be able to execute his policies pending approval in the Upper House of Indian Parliament.