Nationals Leader Brendon Grylls has rejected the notion of a traditional coalition and the idea of taking on the Deputy Premier's job.

Premier-elect Colin Barnett said while a traditional coalition arrangement would include four to five ministers from outside his party, the new arrangement would likely involve up to three ministers.

The new coalition would run along similar lines to European parliaments and would provide good government, Mr Barnett said while claiming victory yesterday.

Mr Barnett and Mr Grylls emerged from parliament after initial talks this morning.

But talks would continue before Mr Barnett's cabinet would be announced and it would be a full two working days before it could be sworn in.

The earliest a new cabinet would be sworn in would be Friday and Labor ministers would have three days to clear out their offices before the new government moved in, Mr Barnett said.

Mr Barnett said this morning ministerial positions would be awarded depending on the skills and the experience of the people available.

"It's a matter of matching up both parties and indeed the independents and the ability of people," Mr Barnett said.

"I want to have the best people in the key jobs."

Agriculture would be an important portfolio to fill, Mr Barnett said.

"I want someone who knows about farming and is passionate about farming because it is the second great industry of this state and we need to advance agriculture in challenging times."

The Liberals agriculture spokesman Gary Snook failed to win his seat in the election.

Mr Barnett said he would be not be loading himself up with a number of portfolios.

Mr Grylls is tipped to be given a 'royalties for regions' ministerial position while former opposition leader Troy Buswell is likely to be treasurer and Christian Porter Attorney-General.