The election will be held on September 23 and the counting will take place on the same evening. The notification for the bypolls will be issued on September 5, the Election Commission said.
State AAP chief and Sangrur MP Bhagwant Mann said the core committee had also formed panels for the preparations and selection of candidates. Phagwara and Jalalabad seats had fallen vacant after sitting MLAs Som Parkash and Sukhbir Badal were elected to the Lok Sabha from Hoshiarpur and Ferozepur, respectively.
State ministers Saurabh Patel, Pradeepsinh Jadeja and BJP MLA Arunsinh Rana were among the first few to cast their votes.
In a statement, the commission clarified that the vacancies for bypolls to all Houses, including the Rajya Sabha, are considered "separate vacancies" and separate notifications are issued and separate polls are held, though the schedule can be the same.
The high-stake election is considered a referendum on the Manohar Lal Khattar government and also a semi-final ahead of Lok Sabha elections.
Surjewala had earlier won polls from Jind district.
The three seats were vacated after the candidates elected on them in the July 25 general elections tendered their resignations.
On September 1, the State Election Commissioner had announced by-elections in 3,207 gram panchayats seats, 161 panchayat samiti seats and 18 seats of Zilla Parishad.
Tripura State Election Commission and police officials said that except for some minor squabbles in northern Tripura, no untoward incident was reported from the 11 blocks.
The South Tura constituency, from where Chief Minister Conrad K Sangma is in the fray, witnessed 72.89 per cent of the 30,231 voters exercising their franchise.
"By and large the polls were held in a smooth manner," Chief Electoral Officer Frederick Roy Kharkongor told journalists.
Although he is not a voter in South Tura, Chief Minister Conrad K Sangma, who is contesting from the seat, accompanied his mother Soradini K Sangma and sister Agatha K Sangma as they cast their votes, he said.
Sangma, currently a member of Parliament from Tura, is contesting from the South-Tura seat in West Garo Hills district on ruling National People's Party (NPP) ticket to enter the state Assembly.
Security has been tightened ahead of the bypolls and four companies of the Central Armed Police Force have been deployed, each in both the constituencies.
Tripura by-polls will take place just months before the Lok Sabha elections 2019. The general elections will be held in the months of April-May next year to constitute the 17th Lok Sabha.
The victory of Rashtriya Lok Dal's Tabassum Hasan in the Kairana by-election on Thursday is of special significance for the party banking on the legacy of former Prime Minister Chaudhary Charan Singh.
Kairana bypoll: Repolling on few seats, where faulty EVMs were reported, likely tomorrow
Chenganur Assembly bypoll election counting live on May 31: The Chenganur Assembly today registered at least 76 per cent voter turnout in the bypoll necessitated by the death of sitting MLA K K Ramachandran Nair (CPM) in January this year due to illness.
The Shahkot bypoll was necessitated following the demise of Akali MLA Ajit Singh Kohar in February this year.
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