The previous National-led government had proposed increasing the minimum residency requirement to 20 years before it was voted out of power.
A 2016 review of policy by Retirement Commissioner Diane Maxwell recommended it increase to 25 years.
In her report Maxwell said the change would bring New Zealand's policy more into line with other countries and mean New Zealand would not have a comparatively low criteria to qualify for a full government pension.
"The length of residence needs to be appropriate in the context of increasing international mobility and reform of overseas pensions," she said at the time.
Maxwell recommended the change be introduced immediately for new migrants while the 10 year residency criteria would apply for those currently living in New Zealand meaning it would take some time to transition.
Paterson said raising the residency to '20 after 20' would ensure a person had lived and worked in New Zealand for a substantial part of their adult lives.
He also pointed to research from BERL which estimated changing the residency requirement to 20 years would generate savings over 10 years of $4.4 billion.
"This proposal contributes to the sustainability of NZ Super and gives a fair go to hard-working Kiwis," Paterson said.