"That's not our policy," the prime minister told reporters in northern Tasmania on Thursday.
"There are differences between territories and states and that is under our constitution and we're not proposing any changes."
Labor has pledged a parliamentary debate and conscience vote on a bill, but Anthony Albanese stopped short of saying it would be brought on in the first 100 days of government.
"What I haven't done is do the hundred-day game. I have said my view is well known about territories and about territories' right to determine their own legislation," he said.
"I'll set the priorities according to the priorities I've put out during the campaign, not according to a press conference two days beforehand."
The former Howard coalition government overrode euthanasia laws passed by the NT assembly 25 years ago.
Since then state parliaments around Australia have approved laws allowing voluntary assisted dying.
ACT Labor senator Katy Gallagher said the coalition was treating territorians like "second-class citizens".
"The Morrison government is always more interested in putting their own conservative personal views before the rights and interests of the people they represent," she told AAP.
Former coalition senator Sam McMahon, who is running for the Liberal Democrats in the NT, said it was disappointing Mr Morrison was not showing any interest in territory rights.
Mr Morrison, during a sweep through the marginal seats of Braddon and Lyons, also remained non-committal about legislating 10 days of paid domestic violence leave just days after the Fair Work Commission sided with unions to back the push for millions of workers.
"We will consider all of those matters in a proper way and we have supported that in terms of unpaid leave and we've legislated for that," he said.
The prime minister has attempted to soften his image, - admitting he can be a bit of a "bulldozer" - and vowed to be more empathetic and consultative if the coalition government is re-elected.
But Mr Morrison has also framed his bulldozer persona as a positive, saying he had been strong during the pandemic and in facing up to international threats such as China.
"You do need strength in this job and that will continue," he said.
"When you're in the middle of the pandemic, you just got to make decisions and you have to push through and that's been very necessary and that's something I've always had the ability to do.
"What I'm looking forward to is being able to move into a new period where we can be more engaging and inclusive and bring more people with us."
Touting a strong economy, Mr Morrison seized on the latest unemployment rate which dropped to 3.9 per cent as he made his pitch to a multicultural morning tea in the western Sydney electorate of Werriwa.
He also seized on Labor's policy costings, which project more than $7 billion of higher deficits over the next four years to pay for their policy commitments and denied the figure was insignificant within a budget hundreds of billions of dollars in debt.
Labor has accused the prime minister of attempting to run a desperate scare campaign on the economy.
"I think Australians think $7.4 billion is a lot of money. I really do. It's a lot of money," Mr Morrison said.
"What does all that do? Labor borrowing more and spending more, it puts pressure on interest rates, it puts pressure on inflation, it drives up the cost of living."
