Companies already disclose pay gap information to the Workplace Gender Equality Agency.
Labor is proposing that the agency publish a list showing whether large companies had reported on the implementation of an audit on the gender pay gap.
Prime Minister Morrison said he is not a fan of the idea, saying voluntary disclosure is the best policy.
“I don't want to set one set of employees against another set of employees. I don't think that's the constructive way to do this,” he said.
“I think you would want to be confident that you weren't setting up conflict in the workplace. What matters is narrowing the pay gap.”
Morrison defends the government's record
The pay gap is currently 14.6 per cent.
Mr Morrison said the Coalition government is responsible for achieving that result when the figure was at 17.2 per cent under the previous Labor government.
“Our government has a very good record here,” he said.
“Under Labor it blew out and under the Coalition it has contracted again and there is more to do.”
Source: Workplace Gender Equality Agency
He also said he is happy with the female representation on government boards, describing the figure being at “a record level”.
He said half of the top public servants running our Commonwealth agencies are female.
“So we take those types of things, we monitor them. And we make sure we're always improving the area. And I would hope that companies would be doing the same thing.”
Pay gap ‘stubbornly high’: Labor
Labor said the pay gap is “stubbornly high” and results in at least a 15 per cent difference between men and women working full-time.
"We think it's just not fair that a full-time working woman earns about $27,000 a year less than a full-time working man,” said deputy Labor leader Tanya Plibersek.
She said a Labor government would ban pay secrecy clauses that would stop workers talking about their salaries with each other.
"The industries that most commonly use pay secrecy clauses also have some of the largest gender pay gaps.”
Philippa Hall from the Women's Electoral Lobby said Labor’s plans offered hope of seeing a significant shift in the pay gap after sitting at around 15 to 17 per cent over 30 years.
The Australian Council of Trade Unions said the policy is a step towards fairer pay for women, particularly by removing the punishment for employees discussing their wages with colleagues.
A Labor government would also require a gender pay audit to be carried out in all government departments and agencies.
- with AAP.