"Those who have done the wrong thing must be held to account - whether they are financial advisers, whether they are bank executives, whether they are directors - it is vital."
Turnbull has told the banks they should change their processes for giving advice to customers, saying disclosure documents were often written "by lawyers, for lawyers" and difficult to understand.
"It's very important that products be explained in plain language and I think that we should, in 2018, be ensuring that discussion is actually recorded," he told the Weekend West.
"If an issue arose, you would be able to see whether the adviser actually did do the right thing or not."
While Mr Turnbull concedes it was a "political mistake" not to call the royal commission sooner, he does not accept responsibility for any misconduct that has occurred within the banking and financial services sectors.
"The responsibility for wrongdoing lies with the people who did the wrongs. Let's be clear about that," he said.
Liberal MP Sarah Henderson has demanded ASIC be overhauled, after the corporate regulator conceded it negotiated rather than prosecuted misconduct cases and has launched only one criminal case in the past decade.
"ASIC's duty to the Australian people is to be a feared and effective regulator, and on that score it has fundamentally failed," Ms Henderson said. Meanwhile, the pressure on AMP's chair and board has increased after barristers for the banking royal commission suggested Australia's largest wealth manager could face criminal charges.
Senior counsel assisting the commission Rowena Orr QC said AMP and its advice businesses misled ASIC 20 times from 2015 to 2017 about the nature and extent of its fees-for-no-service practice.
The fees-for-no-service scandal has already claimed AMP CEO Craig Meller's job and wiped $2.2 billion off AMP's market value during the commission's two-week financial advice hearing.
There is now increasing speculation about the future of AMP chair Catherine Brenner, with the board reportedly preparing to hold a crisis meeting on Sunday.