Expressions of interest were submitted by 6000 families, with the oldest 370 cases invited to apply in November.
Newer applicants will join a random ballot starting in August.
Border and visa operations acting general manager Michael Carley said the oldest 370 expressions of interest were selected in November.
“We recognise the importance for many migrants to have their parents with them, and the positive contributions their parents can make to their families and the community,” Carley said.
“We appreciate that many families have had to wait a long time since submitting their Expression of Interest and that the Covid pandemic has lengthened the wait for the category to restart.”