The greater Wellington region had the highest rate of reported infection at 120 per 100,000 people, with Northland the lowest at 60.
Last week, there were 589 people hospitalised - a jump of 142 on the week before.
The number of people dying from, or with, the virus had declined slightly.
Death and hospitalisation rates tended to lag slightly behind the trend for community cases.
This week’s Covid Insights report from the ministry did not have an update on the variant mix, but the last reported figures showed BA.5, which had dominated for months, now made up fewer than half of all cases.
The rest were a mix of five other variants.
Tuesdays usually had the highest cases numbers of the week, because of a lag in weekend reporting.
-RNZ