The winners in all but three seats have been formally declared as counting nears completion following the May 18 federal election.
The Australian Electoral Commission has formally declared the results in 148 out of 151 seats so far.
The seats of Sydney, Capricornia and Mallee are due to be declared within days.
The AEC cannot officially declare a result until it is mathematically impossible for the margin to be overtaken.
Prime Minister Scott Morrison is set to govern with 77 seats to Labor's 68, with six MPs on the crossbench - one Green, one Centre Alliance, Bob Katter and three independents.
Tasmania's Senate result was finalised on Thursday, formalising former senator Jacqui Lambie's return to Canberra.
Liberals Richard Colbeck and Claire Chandler, Labor's Carol Brown and Catryna Bilyk, and Green senator Nick McKim were also elected.
Labor senator Lisa Singh, who successfully campaigned for a below-the-line vote in 2016, did not hold onto her seat.
She received a similar level of support to the 2016 election but it wasn't enough to return her this time, with the quotas doubled since only six seats were open, not the 12 of the double dissolution.
"I am going to take some time to reflect on what the next chapter of my life looks like," she said in a statement.
"However, I will leave the Senate content that I have done my best.
"Despite the negative view of politics at the moment, I've found it an honour to represent the people of Tasmania and help make a difference in their lives. I know there are other decent politicians on all sides who work hard to do the same."
The Northern Territory's two senators were the first to be finalised.
Results for the ACT are expected to be declared on Friday and other states will follow shortly.
The 76-seat upper house to start on July 1 is likely to comprise 35 coalition members, 26 Labor, nine Greens, two One Nation, two Centre Alliance, one Australian Conservatives and Senator Lambie.
Australian Associated Press
