A new referendum has been proposed to stop the Taoiseach Enda Kenny having the power to call an early general election.
The bill from Shane Ross would create a constitutional amendment so that elections to the Dáil would take place every five years.
The bill follows another assertion by Mr Kenny that the next election will not take place until spring next year.
Mr Ross says it is not fair that the Taoiseach can have such control over the rest of the Dáil.
He said: "The system that we operate, whereby the Taoiseach of this country has the power to dissolve the Dáil and actually chose an election date, is unfair.
"It gives an unfair advantage to the party in power."