After Saturday's general election, Labor and Liberal appear to have won seven seats - two short of an outright majority - in the Legislative Assembly with the Greens holding the balance of power with three seats.

The Stanhope Labor government has lost its majority hold over the assembly on the back of a nine per cent swing against it in the poll.

Liberal leader Zed Seselja said he'd had a conversation with the Greens lead candidate Shane Rattenbury.

"I'm not going to give away my negotiating position as this point," he told ABC Radio today.

"We'll negotiate in good faith, we'll negotiate responsibly."

The ALP had taken for granted the Greens would support a Labor minority government, Mr Seselja said.

"If the Greens do that, I suppose they will be sending out a clear signal that they're not a third force, they're simply an add-on to the Labor party.

"My discussions with Shane Rattenbury indicate he's not taking that approach."

Mr Seselja would not rule out offering the Greens a ministerial position in a Liberal minority government, but said it represented a challenge.

Negotiations could take two weeks: Brown

Taking a week or two to decide which of the two major parties forms a minority government in the ACT is a good investment in future governance, the Australian Greens say.

Neither the Labor government or Liberal opposition has won an outright majority in the 17-seat Legislative Assembly, while the Greens hold the balance of power with three seats after Saturday's general election.

The Greens federal leader Bob Brown said today the ACT community voted for minority government.

"The people of the ACT have said they don't want a majority government here, we want better outcomes and we'll do that by having a number of parties involved in the next government," he told ABC Radio.

Senator Brown said he hadn't discussed any "deal-breakers" with the three Greens MLAs elected on Saturday.

"I've discussed the process in the Tasmanian parliament where the Greens got better outcomes by being in the balance of power.

"It comes down to the Greens sensibly being able to get a good, comfortable arrangement in government."

It would take a week or two before an arrangement for government was agreed upon, Senator Brown said.

"But that is good investment in time when you're looking at the next four years of governance for the people of the ACT."