The deals between the two companies and New Zealand Rugby were both confirmed last year, however there was some lobbying against the relationship with Ineos.
UK-based Ineos, which is majority owned by billionaire chief executive Jim Ratcliffe, is an oil, gas and petrochemicals conglomerate, headquartered in London.
According to Greenpeace, Ineos is one of only 20 companies responsible for half of single-use plastic items thrown away globally - and a significant player in the oil and gas sector.
The new-look kits will first be in action in the sevens arena, with the Black Ferns and All Blacks sevens teams set to return to the World Rugby Sevens Series in the coming months.
The All Blacks are expected to return to action in July with a test series against Ireland, while the Black Ferns are expected to take part in a four-team series alongside Australia, USA and Canada ahead of the Women's Rugby World Cup in New Zealand in October.