"We will ensure that issues of importance to New Zealanders, such as personal privacy, consumer protection, data management, transparency and openness are appropriately protected."
The Digital Economy Partnership Agreement (DEPA) would, according to a joint statement from the three countries, "establish new international approaches for digital trade issues".
It would also "explore new frontiers in the digital economy, such as digital identities, e-payments, cross-border data flows and artificial intelligence".
The agreement would also help in limiting the spread of violent extremism online.
Parker said the three Governments were also looking into how the agreement might address digital economy issues relating to a safe, secure and free internet.
"Including the issue of eliminating terrorist and violent extremist content online without compromising human rights and fundamental freedoms so important for the fourth estate."
DEPA is not the first time these three countries have worked together on a trade-related agreement.
The three nations were architects of the P4 Agreement, which was the foundation for CPTPP.