Announced last Monday, the commission of inquiry, for which terms of reference are yet to be established, comes after shocking revelations of historical child sex abuse in government-run institutions, such as state schools, the public hospital system and the Ashley Youth Detention Centre.

The inquiry will commence in early 2021 and is expected to run for most of the year. It will have the power to compel witnesses to give evidence.

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In State Parliament this morning, Greens leader Cassy O'Connor asked Mr Gutwein if he would commit to implementing all the eventual recommendations of the inquiry "no matter how difficult or costly for government".

"The commission of inquiry will be painful for many, it will uncover dark and terrible truths ... [and] lay bare the failings of successive governments," she said.

The Premier said it would be "certainly my intention" to adopt all the recommendations in the wake of the inquiry.

"On balance, my view would be that of course we will," Mr Gutwein said. "I think all of us would need to reserve the right to understand what those recommendations are."

"It would be certainly my intention that the recommendations, however difficult they may be, will be implemented."

Mr Gutwein said the commission of inquiry would be "challenging" for Tasmanians.

"We will do this once, we will do this right and we will make certain that kids in this state have the best protections going forward," he said.

"I think this will be one of the most difficult moments that Tasmania will have to face.

"I have no doubt that there will be things that will come out of this commission of inquiry that will shock us."

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