Most New Zealanders working in the UK are on two-year working holidays. A large proportion of expats are on ancestry visas, which will not be affected, and skilled work permits, which are likely to be above the income threshold.
New Zealand recruitment agencies said some expats on lower incomes such as teachers or nannies could be affected by the change.
READ MORE: I'm talented. I'm hard-working. I'm blonde. So why can't I find a job in London?
There are about 200,000 New Zealanders living in the UK.
The number of Kiwis travelling there on a long-term basis has fallen from around 18,000 in 2000 to 8500 in 2014, mostly as a result of previous changes which have restricted job opportunities.
A rule change in 2010 required New Zealanders to have a job and a sponsoring employer before they could gain a skilled migrant visa.
In response, some have called for the UK to relax its rules for Commonwealth countries.
London Mayor Boris Johnson has said on several occasions that New Zealanders and Australians should be given the same rights to live and work in the UK as people from the European Union.
New British visa rules
What is changing?
Non-EU migrants working in Britain will be deported after five years if they earn less than £35,000 ($77,400).
When does it come into effect?
April 6.
Who will it affect?
Teachers, nurses, nannies and students are the most likely to be captured by the policy.
What about Kiwi expats?
Possibly a few expats. Most Kiwis travel to the UK on two-year working holiday visas and will be unaffected. Those who can stay for five years or more (ancestry visa holders and skilled workers) are likely to have jobs that meet the earnings threshold.