Jelic died September 30 at a hospital in the town of Doboj after reportedly suffering a heart attack while watching a soccer game.
Jelic, who was elected last year, was 51 years old.
The government today also proposed that the chairman of parliament, Igor Radojcic, serve as interim president until elections are conducted sometime during the next three months.
The post of president is largely ceremonial.
Bosnia is made up of the Serb Republic and the Muslim-Croat Federation, the two autonomous regions created under the 1995 Dayton peace accords that ended the 1992-95 war.