Additional revenue of $50 million was forecast in 2018/19, rising to $100m in the following two years.
Appearing before the Finance and Expenditure Committee today, Finance Minister Steven Joyce said this was a conservative estimate.
"We should be careful and not try to count our chickens before we've got too much of it in place," he said.
"I'm very confident about those numbers. I'm actually confident we'll get more. But I thought to be conservative let's not over-book."
Joyce said New Zealand was now "getting into the nuts and bolts" of its international tax crackdown, an issue which has plagued the taxpayer and required multilateral effort to address.
Three further policy changes on the issue were being developed, and discussion papers would be released soon.
He reiterated that any measures taken against US companies will also apply to New Zealand companies operating abroad.
"We just need to always remember that the rules that apply here apply to exporters here as well.
"So we've got to make sure they're fair both ways."
Joyce noted that the Government had already netted $97m a year through changes which required non-residents to pay withholding tax on properties resold within two years - a move which was introduced in 2015.
A Herald investigation in March last year found the 20 multinational companies most aggressive in shifting profits out of New Zealand collectively paid virtually no income tax.
The companies in question, including Facebook, Google and Pfizer, said they followed New Zealand laws and differences in profitability between their New Zealand operations and elsewhere were because of different business models.
In March, the Herald revealed consumer electronics giant Apple paid no income tax to Inland Revenue over the past decade, despite selling billions of dollars' worth of iPhones and iPads to New Zealanders.