Lawless bought the prints 11 years ago for $6000 each.
They have recently been valued at $15,000 each.
The executive director of Greenpeace NZ, Bunny McDiarmid, said Lawless' support was invaluable.
"She has such a down-to-earth way and is really helping shift people's thinking and encouraging them to act."
Greenpeace NZ wants to raise $350,000 for a wet room on board the new boat.
The auction runs until September 21, and bidders could also vie for a dinner with Lawless - in New Zealand or Los Angeles - a picnic and hike with actress Patricia Arquette or a trip aboard the new Rainbow Warrior III once it is launched.
On Friday, bidding on www.charitybuzz.com for dinner with Lawless was at $4500.