The motion has been lodged by three Green Senators, including Offaly's Pippa Hackett.
A motion of no confidence in the chair of the Green Party will be brought forward tonight.
Dublin Lord Mayor Hazel Chu is facing the motion after she decided to run in the Seanad by-elections without the support of the party.
It was lodged by three Green Senators, including Offaly's Pippa Hackett, after Councillor Chu received six personal nominations to get on the ballot - including from the deputy leader Catherine Martin.
Irish Independent political correspondent John Downing says it's the latest of a number of internal rows within the party: