"It was clear on election night that Canberrans have voted for a Labor-led progressive government over the next four years," Chief Minister Andrew Barr said on Sunday.

"Following the conclusion of the count, we know the full outcome of the election, and the result is the most progressive parliament in Australia with 16 of the 25 seats held by progressive MLAs."

However, with Liberal Peter Cain edging out former Labor Attorney-General Gordon Ramsay to claim the final seat in Ginninderra, Mr Barr will no doubt be reminded a significant number of Canberrans did not vote for Labor and the Greens.

While Labor claimed 10 seats in their own right, the Liberals are now a nose behind them with nine seats.

Although the combined primary vote of ACT Labor and the ACT Greens accounted for more than 50 per cent of all votes cast, this also means a significant number of Canberrans voted elsewhere.

It is these Canberrans the new government will need to bring along with them, as they embark on their next term.

As Jacinda Ardern vowed to govern for every New Zealander after her election victory last weekend, so too must Mr Barr and his team.

It will also be incumbent on the Greens to ensure they use their heightened numbers to maximum advantage during this term of parliament.

Too often the party was criticised last term for falling in behind Labor on issues which should have been core business for the Greens.

The party now makes up roughly one-quarter of the Assembly - the same position they were in after their historic 2008 showing.

This is likely a result Greens leader Shane Rattenbury could scarcely have dared to dream of after the 2012 wipeout.

He was heavily critical in 2014 when Labor and the Liberals used their numbers to divide the city into five electorates of five, virtually guaranteeing themselves 10 seats each and locking the minor parties out.

With last Saturday's showing, it's clear the Greens truly are the third major party in the ACT. They must use this position wisely.