The Postal Workers Union say people's personal letterboxes at their home are "much more secure" than postal hubs.
Police said Kiwis should get packages delivered to a place where someone will be home.
"They really need the closure - it's just not right."
The postman was filmed calling a house a "f***ing s***hole" last week.
NZ Post said COVID-19 sparked a surge in online shopping, which is expected to continue.