The party candidates for three of the four seats falling vacant are Panchayati Raj Minister Kalpataru Das, Textiles Minister Sarojini Hembram and former minister Ananga Udaya Singh Deo, BJD said in a statement.
Deo is from the erstwhile royal family of Bolangir.
The party had earlier announced its decision to support Raghunath Mohapatra for the fourth seat.
Elections are scheduled to be held to fill the four Rajya Sabha seats in the state as the terms of Ramachandra Khuntia of Congress, Mangala Kissan and Renubala Pradhan of BJD and Balbir Punj of BJP are coming to an end.
At present Odisha assembly has 107 BJD members, Congress 27, BJP six and CPI one. There are six independent MLAs in the 147-member house.