Caretaker premier David Bartlett has been ordered by the state's Governor Peter Underwood to recall parliament and test his support as premier on the floor of the assembly, a Government House statement says.
The state's parliament will be recalled within weeks.
The make-up of the next Tasmanian parliament will be a 10-10-5 split of Liberal, Labor and the Greens, respectively.
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Labor lost its majority, suffering a 12 per cent swing, at the March 20 election.
'Obliged' to form government
Mr Underwood said Mr Bartlett, as the incumbent, had an obligation to form a government so that Parliament could test it on the floor of the house.
Mr Bartlett has accepted the charge.
Earlier on Thursday, Tasmanian Greens leader Nick McKim pledged conditional support for a minority Labor government.
In the statement, Mr Underwood said that he "expressed the view to Mr Bartlett that in the circumstances, as the holder of the Commission to form Government, he had an obligation to form a Government so that Parliament could be called together and the strength of that Government be determined by the House of Assembly".
