New data shows the annual net migration rose in the year to March, compared to a year ago.
Annual net migration was estimated to be 56,100 for the 12 months to March 2019, up on of the 50,600 in the year to March 2018.
Estimated net migration for the year ended February 2019 was revised down to 55,100 - from 61,600.
On a monthly basis the country gained a net 4,500 permanent and long-term residents in March, down from a revised 8,565 in February but up from 3,396 in March last year.
This suggests arrivals are easing again after a spike in the first two months of the year, although they remain at historically high levels.