The basic plan runs between Sydney and Chung Hom Kok.
But the design allows for branches that can be deployed to Shanghai, Taiwan, Papua New Guinea, Solomon Islands, Guam, Queensland, Hawaii and Los Angeles.
Choosing a very direct route means the cable will provide the best latency from Australia across the Pacific Ocean, according to the companies.
The Sydney and Los Angeles cable will follow a route that has not been used by any other cable, thus adding to the diversity of connections between Australia and the US.
"We are pleased to partner with SubCom and are confident their superior technology and operational excellence will enable a smooth system deployment," said H2 chief executive Georges Krebs.
"H2 will bring the necessary boost in connectivity to Australia, which has one of the fastest-growing international traffic stream in the world."
H2 chairman Remi Galasso added, "Growing capacity requirements and new traffic patterns emerging within the Asia-Pacific region require the deployment of innovative and versatile submarine infrastructures.
"The H2 cable, with its North and East segments, has been designed to deliver direct connectivity through new subsea paths and provide optimal diversity. We are excited to be at the forefront of this development."