More than 300 vehicles have been stopped at checkpoints around Auckland's boundaries in a 19-hour period since the city went into Alert Level 3.
In a statement this afternoon, Police Minister Stuart Nash said officers had stopped about 17,000 vehicles, as of 7am.
Of those, 312 were turned around.
"Police advise that most people were co-operative and responded positively to requests," Mr Nash said.
Meanwhile, in the greater Auckland region police carried out 852 Covid-19 patrols and checks.
"These included reassurance patrols at essential businesses like supermarkets, responses to complaints about potential breaches, and checks on other businesses," Mr Nash said.
"Reports from the first day of Alert Level 3 indicate the vast majority of residents in our largest city have responded well to the new restrictions."
"Police enforcement of both Alert Levels 3 and 2 follows the same pattern as our earlier lockdown. Police take a graduated approach where they engage, encourage and educate people about the Covid restrictions, before moving to more formal warnings or even arrests."