"The study also shows that there is high persistence and recurrence of low income in New Zealand. For example, of those households who are initially on low income 65 per cent remain in low income in the next year," said Dr Carter.
"We found a strong correlation between the length of time households spent in low income and levels of deprivation - that is to say more years in low income results in higher levels of deprivation."
Low income was defined as a household income of between $25,800 and $33,950, which was experienced by about half of those surveyed during the seven-year period.
The research showed New Zealand is characterised by high annual income mobility, both up and down the scale, and gross household income can fluctuate markedly over a number of years.
The study found that 50 per cent of families and households in the middle income group were more likely to move up or down income groups each year.
More research was needed to find what caused people's income to change and why many were dipping below the low income line, said Dr Carter."
Finance Minister Bill English said the report showed only a small proportion of New Zealanders spent long periods on low incomes and in deprivation.
"The Government will continue with its programmes to help more New Zealanders to take advantage of opportunities to move into work, education and skills training,'' he said.