Vileišis was one of the four members of the Council to resign on January 26, 1918, on the grounds that the Council of Lithuania had no right to usurp the rights of the Constituent Assembly of Lithuania, and that its authority only applied to the determination of Lithuania's future and model of the state.
Vileišis was one of the four council members who resigned on January 26, 1918, due to the Council of Lithuania's actions being seen as a challenge to the authority of the Lithuanian Constituent Assembly, which had the exclusive right to decide on Lithuania's future and governmental structure.