The Persephone project comprises two wells tied into a subsea production manifold with production fluids transported to the existing North Rankin Complex.
The contract comprises fabrication, transportation, installation and pre-commissioning activities within the principal scope of work, with additional deconstruction and pipeline suspension work in the Echo Yodel field at the Goodwyn Alpha Platform.
Subsea 7's diving construction vessel Seven Eagle will perform all of the offshore activities.
Project management and engineering will start immediately from the company's office in Perth, with offshore operations scheduled to begin in the fourth quarter of 2015.
"We are very pleased to receive this important award from Woodside Energy," Subsea 7 vice president Australia and New Zealand Andy Woolgar said.
"We believe it is a strong reflection of our long, successful and collaborative relationship with Woodside."
The Persephone project became the third major gas development for the North West Shelf joint venture when the partners approved its development in November.
The project will involve a two well, 7km subsea tieback from the Persephone field to the existing North Rankin Complex.
The total investment for the project is expected to be about $1.2 billion, with project start-up expected in early 2018.