The Lord's Prayer will be put on the parliamentary chopping block on Thursday and replaced with silent reflection, if the Greens have their way.

Greens spokesman on multiculturalism, Richard Di Natale, will move a motion in the upper house on Thursday morning to refer the prayer to the Senate's Procedure Committee.

"You'd need to be an economic Luddite to continue with the current policy": Richard Di Natale.

Senator Di Natale's motion will ask the committee to consider amending section 50 of the Senate's standing orders to replace the prayer with the following:

''Senators, let us in silence pray or reflect upon our responsibilities to the people of Australia, to the States and Territories which we represent, and to all future generations.''