Churches, charities and state governments have been told they have no excuses to avoid signing up to the child sex abuse victims' redress scheme.
State and territory leaders are in Canberra for the Council of Australian Governments meeting at which they will discuss the redress scheme on Friday.
Mr Porter said "excuses" were the reason Australia was now grappling with how to respond to child sex abuse.
"Excusing the conduct of monstrous individuals, excusing the failures and the outrageous wilful blindness of the institutions - what we cannot accept now, at the critical point of creating a national redress scheme, is to accept any more excuses," Mr Porter told parliament.
"Excuses for failing to join the scheme must end."
Opposition Leader Bill Shorten pledged bipartisan support for the redress scheme.
"We think it is very well said, no more excuses, no more delays," he told parliament.
Parliamentary inquiry chairman Derryn Hinch gave the states a deadline.
"If the states and institutions haven't signed up in the next three weeks, I will unload like you've never heard before," he told reporters.
COAG will also address a new hospital funding agreement, which will reportedly mean Canberra continues to pay 45 per cent of the cost of hospital funding but keep growth in federal spending capped at 6.5 per cent per year.
"If Mr Turnbull thinks we're going to sign on and validate the fact that they have broken their promises, they've not funded health properly and patients are suffering, well he's got another thing coming," Victorian Premier Daniel Andrews told reporters on Thursday.
But NSW Premier Gladys Berejiklian said states need to be accountable for their own spending.
"It's only fair to states who do the right thing by their citizens to make sure we get a fair go and that's certainly the case I'll be putting today," she told reporters.
The premiers and chief ministers will be briefed by indigenous leaders who have been meeting in Canberra since Wednesday, as the federal government reviews the Closing the Gap program.
Reconciliation Australia chief executive Karen Mundine called for an indigenous voice in parliament to ensure Aboriginal and Torres Strait Islander voices were heard.
"This is about more than setting targets. We need a structural solution to a structural problem," she said.
Premiers will also discuss the protection of children and cyber-bullying, with Queensland leading the charge on reform.
A 30-minute discussion about issues relating to northern Australia will be held just before the full COAG meets.
