Minister Heather Humphreys says she's not surprised by the move from Sinn Fein.
Sinn Fein is to table a no-confidence motion in Justice Minister Helen McEntee next week.
Mary Lou McDonald says the country can't have a Justice Minister who "refuses to acknowledge the political failures that allowed our communities to become unsafe."
Minister McEntee has faced calls to resign from her position since last week's riots in Dublin following a mass stabbing in the city centre.
Deputy McDonald says the Government is simply not listening.
Minister Heather Humphreys says she's not surprised by the move from Sinn Fein.
She says Deputy McDonald's party are playing a game.

Sharp Rise In Number Of Children Experiencing Poverty
Missing Person Appeal: Nathan Kenna (15), Lucan
Man (20s) In Critical Condition After Assault In Meath
Gardaí Arrest Two People In Connection With Prison Drug Smuggling
Ticketmaster Contest Consumer Law Breach Accusations In District Court
Irish Rail Fires Firm Behind Abandoned €50 Million IT System
Energy Regulator Proposes Lower Gas Rates For Data Centres
First Day Of FF's Political Think In Takes Place In Offaly