Anthony Albanese has accused the coalition of being disingenuous with voters after the opposition agreed to support controversial changes to stage three tax cuts.

Opposition Leader Peter Dutton said he would not vote against the tax cuts when they come before parliament, effectively clearing the way for the changes to come into law by July.

The support by the opposition comes after Mr Dutton previously challenged the prime minister to call an early election on the issue, after Mr Albanese pledged before the 2022 election to leave the original tax plan untouched.

But the prime minister said the coalition had false outrage over the tax cut changes when they were first announced.

“It shows they were disingenuous with all of their complaining because if they are fair dinkum, they’d not only vote against it, but they’d do what (Deputy Liberal Leader) Sussan Ley said they would do which is to absolutely roll it back,” Mr Albanese told the ABC’s 7.30 program on Tuesday.

“They’re not fair dinkum. We made a difficult decision, but it’s the right decision, done at the right time and all for the right reasons.”

Under the plan, those earning under $150,000 would get a greater tax cut than under the original stage three proposal, while those earning more will still get a tax benefit, but less than previously forecast.

Mr Dutton said the opposition would take a significant tax policy to the next election.

He said the coalition had backed the stage three changes to not get in the way of those doing it tough and in need of relief.

“We’re supporting this change not to support the prime minister’s lie but to support those families who need help now,” he told reporters on Tuesday. 

“We’re not going to stand in the way of tax cuts being delivered, and we’ll have more to say in relation to our own policy in due course.”

The coalition will refer the legislation to a Senate committee before it passes parliament. 

Mr Albanese said the stage three changes would overwhelmingly benefit Australians on average incomes.

“We’ll wait and see what the coalition come up with, but we are focused very much on managing the economy,” he said.

“This is a better addressing of bracket creep than the original stage three proposal that help people at the very high end.”

Legislation enshrining the tax cut changes was introduced to parliament on Tuesday.

This post was originally published on Michael West.