Mr Morrison oversaw Tuesday's swearing-in ceremony at Government House in Canberra where some of Mr Dutton's backers officially got new their jobs.

Key Dutton supporter Steven Ciobo is the new Defence Industry Minister, while Angus Taylor has the energy portfolio.

Mathias Cormann was restored as finance minister and government leader in the Senate, along with fellow Dutton backer Health Minister Greg Hunt.

Michael Keenan has been dropped from cabinet, but retains the human services and digital transformation portfolios.

Mr Dutton was restored as home affairs minister on Monday, but his immigration responsibilities have been taken over by David Coleman.

Some who tried to stop Malcolm Turnbull being knifed also received promotions, with Marise Payne taking over as foreign minister from Julie Bishop.

Christopher Pyne replaces Senator Payne in defence, while Kelly O'Dwyer changes to jobs and industrial relations, which are now cabinet positions along with her old role as minister for women.

Former education minister Simon Birmingham was sworn in as trade minister, with his portfolio handed to Dan Tehan.

WA's Melissa Price, who used to work for a mining company, comes into cabinet to oversee environment policy.

New Social Services and Families Minister Paul Fletcher also rises to a cabinet post, along with Industry, Science and Technology Minister Karen Andrews.

In junior roles, Assistant Treasurer Stuart Robert has returned from the sin-bin three years after quitting the ministry for breaching ministerial standards.

Sussan Ley has also made a comeback 18 months after she resigned over questions surrounding her use of ministerial entitlements.

Mr Morrison's new-look front bench has its work cut out for it, with polls showing voters have turned on the coalition after a week of chaos in Canberra.

The first Newspoll after Malcolm Turnbull was axed showed Labor in front 56-44 on a two-party preferred basis, while an Essential poll has the coalition trailing 55-45.

Australian Associated Press