The DHB has provided around $106,000 in services to non-resident, ineligible visitors in the last 11 months.
Nationwide, about $50m of foreign-incurred debt was written off by district health boards around the country over a three year period to October 2016.
This was almost a third of the total $160m spent on healthcare for ineligible visitors.
Taxpayers' Union executive director Jordan Williams said writing off a thirty per cent of debts was not good enough and directly cost the taxpayer.
"The fact that we're writing off a third shows we're doing a lot more than letting people off who can't afford it; we actually just have poor systems following it up and recovering the money," Mr Williams said.
Mr Williams dismissed some calls for a border levy to pay for these costs.
"There needs to be a greater effort in enforcing these debts, and the revenue should be collected from the people incurring them, not some levy or complicated new tax.
"Perhaps it is a role of government to provide DHBs with advice on how to do it. Given the amounts, maybe it is time for a central scheme, although DHBs aren't small business. They are large organizations; they should be able to recover debts even from foreigners.
"Taking the passport until the person provides their insurance details seems to us a common sense step."
Who gets free healthcare in New Zealand?
- Permanent residents
- NZ citizens living in the Cook Islands, Niue and Tokelau
- Australians who intend or have lived here for two or more years.
- Some Brits who fit a reciprocal agreement
- Holders of two-year or longer work visas
- Children of those eligible
- And a small amount of others