The government has called for nominations on four boards and it wants women to apply.
It's looking for "high calibre individuals" for the boards of Airways Ltd, AsureQuality, the Met Service and Quotable Value.
State Owned Enterprises Minister Todd McClay says women are under-represented and he wants that to change.
Minister for Women Louise Upston is also encouraging women to put their names forward.
"Mr McClay and I are committed to increasing the percentage of women on State Owned Enterprises boards to at least 45 percent," she said.
In May this year Ms Upston said the percentage of women on state sector boards and committees was 43.4 percent.
She challenged the private sector to match that, saying it lagged well behind with just 17 percent.
During 2015, more than 50 percent of ministerial appointments to boards were women.