Labor's Josh Willie is on track to be elected to Tasmanian Parliament, ousting the incumbent Upper House member Adriana Taylor in an upset result.

With two-thirds of the votes counted in the southern Legislative Council electorate of Elwick, Lutana teacher Josh Willie has 47 per cent of the vote, ahead of independent Ms Taylor on 40 per cent.

The Greens candidate Penelope Ann is trailing on 12 per cent.

Ms Taylor, a former mayor of Glenorchy who was elected to the Legislative Council in 2010, was considered the frontrunner in the lead up to the election, given the huge advantage of incumbency.

It is a more predictable result in the electorate of Apsley in the state's north-east.

Incumbent independent MLC Tania Rattray has a strong lead, claiming 49 per cent of first preferences compared to her closest rival Labor's Darren Clark on 23 per cent.