To win the election, Landsbergis must collect more than 50 percent of all votes. If he runs short, the party will hold run-off voting, and Landsbergis will compete with Parliamentary Vice-Speaker Irena Degutienė.
The party's executive secretary Monika Navickienė said Landsbergis has 49.78 percent of the 9,090 votes, while Degutienė was supported by 43.05 percent of the party's members.
"We still do not have the votes of the party's two offices, which are expected on Monday. The outcome of the elections is still unclear," Navickienė told BNS.
If needed, the run-off voting will be held on 24-25 April.
The newly-elected leader will replace Andrius Kubilius who has been heading the conservatives since 2003. Kubilius has backed Landsbergis and announced his decision not to seek re-election.
Under the party's bylaws, the chairman is elected for a two-year term.
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