The agreement has been the source of much controversy in recent years, with thousands of people taking to the streets in Auckland to protest the deal in 2016.
But the controversy has died down since Labour took power and renegotiated the deal in an attempt to, among other things, protect Treaty of Waitangi principles, Pharmac, and New Zealand's sovereignty.
Side letters have also been signed that narrow the scope for investor-state dispute settlement claims against New Zealand. They have been signed with Brunei Darussalam, Malaysia, Peru, Vietnam and Australia, and New Zealand also has an agreement with Canada and Chile to use ISDS responsibly.
O'Connor said the CPTPP would open access for exporters to 480 million consumers across 11 countries, including four with which New Zealand currently has no trade agreement.
It would also put New Zealand in a position to play a role in shaping the rules in the future global trade environment.
Notably, the Trump administration withdrew the US from the TPP in 2017, which thrust the deal into doubt.
But the remaining countries persisted and later that same year, the TPP was renamed the CPTPP after a number of changes were made to the deal.
These included revisions in the ISDS chapters, as well as changes to intellectual property rules.
This was welcomed by Prime Minister Jacinda Ardern, who said the Government wanted to take a different position on ISDS than its predecessors.
"We pushed hard, the message we got back was had we been at the negotiation table ourselves, even a year earlier, what a difference it would have made," she said at the time.
The Greens have been against the deal since its inception.
On Monday, the party's trade spokesperson Golriz Ghahraman reaffirmed the Greens' opposition to the deal.
"We've always opposed deals which prioritise money over the environment and working peoples' rights and continue to do so with this bill."