The Justice Ministry says it's working to provide arrest courts as needed by the police during the earthquake aftermath.
The police have warned that entering Christchurch's central-city cordon without permission will be considered a criminal offence.
All court buildings in Christchurch, including the High and District courts, will remain closed for the rest of the week.
But the Justice Ministry says it is working with the Police and Corrections to make court hearings possible for those arrested.
The Ministry says those summoned for jury service in Christchurch this week are now not required to attend.
All court sittings scheduled in Timaru, Ashburton, Rangiora and Kaikoura have also been postponed for the week.