The 55-year-old conservative has pledged to quickly scrap taxes on corporate pollution and mining profits imposed under the previous Labor administration, introduce a costly paid parental leave scheme, and build roads for the 21st century.
He has also vowed to halt the boats, with his policy of towing them back to Indonesia due to come into effect today, which could prove to be an early test of his mettle.
"On day one, which will be Wednesday, I expect Operation Sovereign Borders to commence," Abbott told reporters this week, adding: "Interdiction operations on the seas to our north will change and become more forthright, cooperation with the authorities in Indonesia will become more vigorous."
Abbott has vowed to move "purposely, calmly, methodically to deliver on our election commitments", saying the government's key challenge was to retain the trust of the public.
Counting of postal votes is still underway from the September 7 election, but the conservatives are on track to win 90 seats in the 150-seat House of Representatives to Labor's 55.
It gives Abbott a clear majority, although the makeup of the upper house of parliament is not yet apparent, with the likelihood that six minor party candidates could secure seats to hold the balance of power -- complicating the new government's legislative push.
While Abbott has kept a low profile since the polls, he has already come under flak for naming just one woman in his 19-person cabinet -- Julie Bishop as foreign minister.
The previous Labor government had six women in cabinet.
Abbott has also attracted criticism, including from his own party, for streamlining his ministry, with key portfolios such as water, climate change, science and aged care being wrapped into other portfolios.
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