The cabinet features several new portfolios, including health infrastructure to boost capacity in the sector, and the preventative health portfolio to reduce long-term hospital demand.
A new aged care and seniors portfolio is designed to work with the federal government to deliver more care places and free up hospital beds.
"We're now bringing a more team-like approach to (health)," Mr Cook told reporters on Tuesday.
"We're going to have the minister for health, the minister for health infrastructure, the minister for preventative health and the minister for aged care and seniors."
Mr Cook said a new housing and works portfolio would focus on government building and the economic diversification and manufacturing portfolios would work to make the WA economy more resilient in "globally uncertain times".
"We are more impacted by shifts in global trade and the dimensions of that than pretty much any other state so we need to continue to make sure that we do everything we can to ensure that we manage those troubled waters," he said.
A minister will be introduced for each WA region, prioritising local job opportunities and infrastructure needs.
Some ministers have been reshuffled and the climate action portfolio has been replaced with climate resilience.
"We need to make sure that everyone is aware that the globe is getting hotter and we're all going to have to adapt," Mr Cook said, adding his government wasn't giving up on the climate and WA would be the first state to end coal-fired power generation.
Deputy Premier and Treasurer Rita Saffioti has lost tourism and picked up sport and recreation.
Paul Papalia will no longer handle the police portfolio, taking on emergency services, and Reece Whitby has dropped his environment role and picked up police.
Amber-Jade Sanderson has been moved from health into economic portfolios, with Meredith Hammat appointed as health minister.
Mr Cook will handle the state development, trade and investment and economic diversification portfolios.
Liberals leader Libby Mettam said Mr Cook's cabinet was "more about rewarding union-owned MPs than serving the people of WA".
Nationals leader Shane Love said the cabinet was a missed opportunity to reset and move forward, describing the changes as more style than substance.
The new government is scheduled to be worn in on Wednesday as vote counting continues to determine the winners of a handful of seats.
Latest tallying in the March 8 poll shows Labor has won 44 of 59 seats, the Liberals six and the Nationals four, according to ABC News, with just more than 75 per cent of ballots counted.
The lower house seats of Albany, Kalamunda, Kalgoorlie, Pilbara and Warren-Blackwood are yet to be decided.
Labor is ahead in two, with the Liberals taking the lead in another two seats and the Nationals one.
