It comes after Will Hodgman announced his resignation last Tuesday, prompting a leadership contest between Mr Gutwein and Infrastructure Minister Michael Ferguson.

Mr Ferguson pulled out of the race on Monday, the day the Parliamentary Liberal Party was set to vote on who would lead it to the next election.

This allowed Mr Gutwein to be elected to the top job unopposed.

Deputy Premier Jeremy Rockliff had stood on a ticket with Mr Gutwein, seeking to retain his position as deputy, while Attorney-General Elise Archer was the deputy candidate behind Mr Ferguson.

The new Premier has served as Treasurer since the Hodgman government came to power in 2014, overseeing improving economic conditions in the state.

In his first press conference as Premier-elect on Monday afternoon, Mr Gutwein signalled his intention to do more to improve health and housing outcomes, and highlighted a desire to focus on climate action.

And now he's created a dedicated climate change ministry, and he himself will take personal responsibility for it.

It's been said the 2020-21 state budget will likely be a "difficult" one. Nevertheless, the Premier has opted to juggle his new duties with his responsibilities as Treasurer.

However, Mr Ferguson has been appointed Finance Minister, and will share some economic duties with Mr Gutwein.

Mr Ferguson will continue to be Leader of the House, and will still be responsible for the Infrastructure and Transport, Science and Technology, Small Business and State Growth portfolios.

The Premier had previously been responsible for the Environment, Parks and Heritage ministries, as well as Tourism, Hospitality and Events, Trade, Advanced Manufacturing and Defence Industries and Prevention of Family Violence.

He will retain Tourism and Prevention of Family Violence, while Braddon MHA Roger Jaensch will be the new Environment and Parks Minister.

Ms Archer will take charge of the Heritage portfolio. She will also keep her Attorney-General role, and remain Corrections Minister, Justice Minister, Arts Minister and Building and Construction Minister.

Mr Rockliff has retained his Education and Training and Mental Health portfolios, which both he and Mr Gutwein flagged would happen during Monday's press conference.

He will also now be the Minister for Trade, as well as the Minister for Defence Industries and Advanced Manufacturing.

His workload will increase further as he is also set to take on Disability Services and Community Development.

Lyons MHA Guy Barnett will hold on to Energy, Resources, Primary Industries and Water and Veterans' Affairs, while Bass MHA Sarah Courtney, who replaced Mr Ferguson as Health Minister midway through last year, will keep the Health portfolio, and stay on as Minister for Women. Furthermore, she's been handed a newly created portfolio: Strategic Growth.

Mr Gutwein said she would be responsible for creating a "bridge" for all Tasmanians to be able to "grasp opportunities".

Ms Courtney will, too, take carriage of Small Business, Hospitality and Events.

Mr Jaensch will still serve as Human Services Minister, Housing Minister, as well as Aboriginal Affairs Minister and Planning Minister Minister.

Meanwhile, Mark Shelton, a Lyons MHA, who was elevated to Mr Hodgman's ministry in a reshuffle last year, will keep his Police, Fire and Emergency Management and Local Government portfolios.

A new addition to the ministry will be Prosser MLC Jane Howlett, who has been handed the Sport and Recreation and Racing portfolios.

"Jane will be a strong voice for the many local clubs and groups," Mr Gutwein said.

Sue Hickey will remain as Speaker of the House of Assembly, while Jacquie Petrusma will stay in the Chair of Committees role.

Braddon MHA Joan Rylah will still serve as Parliamentary Secretary to the Premier and Lyons MHA John Tucker will stay as Government Whip.

Leonie Hiscutt will continue on as Leader of the Government in the Legislative Council and Ms Howlett will continue to be her deputy.