That followed the US central bank meeting on Thursday, at which it removed a reference to being 'patient' from its statement as expected, paving the way for interest rate hikes at future meetings.
However, at the same time, it lowered its outlook for growth, inflation and interest rates, and emphasised it wasn't 'impatient'.
"The US dollar was buffeted late last week," ANZ Bank New Zealand senior economist Philip Borkin and senior FX strategist Sam Tuck said in a note.
"With the US dollar swinging wildly it was notable that the New Zealand dollar squeezed higher when markets were selling the US dollar, and was much more resistant to US dollar buying than the Australian dollar.
This created a new post-float high in this cross" and "a new marginal post-float high" in the euro.
The New Zealand dollar was trading at 97.19 Australian cents at 8am in Wellington, from 96.80 cents at 5pm on Friday, and at 69.69 euro cents, from 69.55 cents on Friday.
ANZ expects the kiwi to trade between 97.10 Australian cents and 97.80 cents today, and between 69.10 euro cents and 70.40 cents.
In New Zealand today, Westpac Bank releases its first quarter consumer confidence survey at 10am.
The kiwi touched a two-month high of 91.13 yen over the weekend, and was trading at 90.59 yen at 8am from 89.71 yen on Friday.
It advanced to 50.54 British pence from 50.31 pence on Friday.
The trade-weighted index rose to 79.12 from 78.21 on Friday.