Prime Minister Scott Morrison is set to secure majority government with the Liberals expected to win several tight races, including Malcolm Turnbull's old seat of Wentworth.
The independent incumbent in Wentworth Kerryn Phelps conceded defeat on Monday to the Liberal candidate Dave Sharma on Monday.
While three seats are extremely close, the Australian Electoral Commission has awarded 77 seats to the Coalition which would give it a two-seat majority in the House of Representatives.
Labor is expected to end up with 68 seats and six MPs will sit on the crossbench, including three independents. The AEC's projection is in line with ABC's election guru Antony Green, who believes the Coalition will also pick up Chisholm and Bass.
The Liberals are ahead in Bass in Tasmania, while the ALP leads in Wayne Swan's former seat of Lilley in Queensland and Macquarie in New South Wales.
In Cowan in Western Australia, Labor's Anne Aly is expected to win.
New ministry choices
While the prime minister was rarely flanked by his minister during the election campaign, he now he faces the task of deciding who will form his refreshed ministry and cabinet.
Several positions are up for grabs, including the women and industrial relations portfolios that were held by retired MP Kelly O'Dwyer.
The prime minister also needs a new Indigenous affairs minister, with former Northern Territory senator Nigel Scullion bowing out at the poll.
Australia needs a new human services minister too, since WA MP Michael Keenan has also stepped down.
Mr Morrison may look to boost the number of women in Cabinet with several fresh faces to choose from.
Women make up at least seven of the coalition's newcomers for the 46th parliament, with pediatrician Katie Allen replacing Ms O'Dwyer in the Melbourne seat of Higgins.
The Nationals' Anne Webster, the founder of an organisation that supports mothers, has won the Victorian seat of Mallee left open by Andrew Broad.
In western Sydney, psychologist Fiona Martin has taken over outgoing MP Craig Laundy's seat of Reid and community housing executive Melissa McIntosh has picked up Lindsay from Labor.
Former University of Notre Dame Vice Chancellor Celia Hammond is succeeding Julie Bishop in Perth's Curtin as the Liberals had hoped.
