Independent Andrew Wilkie claimed has claimed victory in Denison.
"I am confident with well over half the votes counted it would seem impossible for anyone to catch me," he said.
Mr Wilkie said his campaign was aided by dirty tactics from the major parties, particularly the Australian Labor Party which ran a targeted campaign saying he would work with Liberal leader Tony Abbott, but he said no criticism should be made of the candidates themselves who had run a good campaign.
He said his job now would be to keep a watch on the likely Coalition government to ensure it acted in a humane and responsible way.
Mr Wilkie looks to be the only independent in the 44th parliament, sharing the crossbench with Bob Katter, Greens MP Adam Bandt and, on current numbers, Clive Palmer.
"It will make for interesting lunches," he said.
In Braddon, an emotional but restrained Sid Sidebottom has congratulated Liberal candidate Brett Whiteley on winning Braddon.
Speaking at his Forth home, Mr Sidebottom said he was disappointed for himself, and his supporters.
"I congratulate Brett and the Liberal Party, they're going to form government,'' Mr Sidebottom said.
"I've been really privileged to be the federal member for Braddon on a number of occasions and I've been going to 15 years, and I can't think of a better area to represent.
Bass Labor MHR Geoff Lyons announced that he had conceded about 8.30pm.
Franklin MHR Julie Collins says she has mixed feelings about the results.
Ms Collins will retain her seat despite suffering a 6 per cent swing against her.
"I'm really honoured that the people of Franklin have put their faith in me for a third term," Ms Collins said.
Ms Collins could be the only Labor MHR left in Tasmania with Bass and Braddon to go to the Liberals and Labor's Dick Adams trailing in Lyons.
"Clearly things aren't what we hoped they would be."