"There are significant issues that are still to be addressed including land settlement, shared properties, the Port Hills review and the speed of building consents," Mr Grafton said.
He said Christchurch's "rebuild and repair" programme would be completed by the end of 2016 - more than six years after the first of two major quakes damaged the region.
About a third of claims, 34 per cent, had been fully resolved through external resolution or were fully completed rebuilds and major repairs.
A further 46 per cent were claims where a repair or rebuild had been agreed and was in progress.
"This indicates that 80 per cent of the...residential property claims have been completed or are in the process of being resolved," Mr Grafton said.
The figures also showed that 7200 (30 per cent) of the claims had been externally resolved, which included cash settlement and house reinstatements, with an additional 3100 (13 per cent) external resolutions still to be fully completed.