Julie Bishop will stay on in parliament, and not force a by-election, after resigning as foreign minister, saying she has the strong support of voters.

In a dignified media conference, Ms Bishop didn’t rule out a return to the ministry, or a future leadership role.

And she left open the possibility of standing again, but will make a decision closer to the election.

Julie Bishop arrives for a press conference at Parliament House in Canberra. (AAP) (AAP)

Ms Bishop didn't rule out a return to the ministry or a future leadership role. (AAP) (AAP)

And in a performance full of class, Australia’s first female foreign minister refused to comment on the bitter destructiveness of last week, or those who schemed against her in the leadership ballot.

In what was essentially a ministerial goodbye, and the chance to thank family, friends, colleagues, and staff, Ms Bishop said she was optimistic about the future of the party and the government.

After 11 years as Liberal deputy, and serving under three leaders, and five years as foreign minister, Ms Bishop said she was “very comfortable with her decisions”.

“I wish ScoMo and Joshy every success in providing great government for Australia,” Ms Bishop said.

Asked about last week’s tumultuous toppling of Malcolm Turnbull, Ms Bishop, despite being hurt and let down herself, refused to add to the fractious relations within the party.

“I want to move on from the events of last week,” she said.

“I don’t think it’s going to assist the new government if I pontificate on those issues.”

She was deliberately pointed, when asked if there was ever a prospect of the Liberals electing a popular female leader.

“When we find one, I’m sure we will,” she said sarcastically, implying they had one, but had never elected her.

Ms Bishop praised Mr Turnbull, saying he’s a “remarkable person” and “one of the most substantial figures of our times”.

And she said Australia should honour the Paris Agreement, to reduce emissions by 26 percent.

“Australia has a very high standing as a nation that keeps its commitments,” she said.