Fifty-seven of the Rajya Sabha seats will be falling vacant in April while a by-poll to fill a seat from Kerala will also be held on the same day. M P Veerendra Kumar had resigned in December last year though his term was to end in April, 2022.
The elections will take place on March 23 and the counting of votes will held the same evening, the commission said in a statement.
In August 2017, the BJP had overtaken the Congress to become the largest political party in Rajya Sabha with 58 members against 57 of the main opposition party.
In Uttar Pradesh, where ten seats are up for grabs, the BJP would like to gain the most.
While nine members, including Jaya Bachchan (SP) and Pramod Tiwari (Cong) from UP are retiring on April 2, one seat vacated by BSP supremo Mayawati last year, will also go for elections.