Dodic, who is known for his anti-NATO stance, came first in the race with 55.15 percent of the vote, the committee's chief Branko Petric said.
Sefik Dzaferovic leads the race for the Bosniak seat with 37.97 percent of the vote, while Zeljko Komsic is the prime candidate for the remaining Croat seat with 49.47 percent of the vote.
Meanwhile, Zeljka Cvijanovic, prime minister of Bosnia's Republika Srpska, declared victory Monday in the regional race for presidency after her processor ascended to the country's tripartite governing body.
"We estimate that I have a 30,000-vote lead over [closest rival] Vukota Govedarica. The gap is obvious and can't be closed," she told supporters who gathered overnight at the campaign headquarters.
The former Yugoslav republic has a tripartite presidency made up of a Serb, a Croat and a Muslim Bosniak.
The Serbian-majority region, one of the two legal entities making up Bosnia, voted in its own presidential poll on Sunday in addition to electing a president in Bosnia's tripartite governing body.
READ MORE: Bosnian Elections: Referendum on Neutrality
In his victory speech aired early Monday by Bosnian Serb radio, Dodik promised to protect Serbian national interests and "dignity" and devote every moment of his presidency to making Republika Srpska stronger than ever.