Investors are hoping the Group of 20 leaders' meeting in Cannes at the weekend moves forward policies that will promote growth in Europe and major economies.
"Obviously Wall Street and the Greece's back-tracking on the referendum have helped kiwi. We've got Reserve Bank of Australia minutes today and US non-farm payrolls tonight," said Murray Hindley, chief foreign exchange dealer at ANZ.
The market was focused on the G20 meeting and developments in Greece, he said.
US non-farm payrolls are expected to have risen by 95,000 in October after a 103,000 rise in September was stronger than forecast.
Earlier this week the Federal Reserve's Federal Open Market Committee reaffirmed the zero to 0.25 per cent target band for the United States' benchmark interest rate after a two-day meeting, and downgraded its 2012 growth forecast.
The kiwi fell to 76.20 Australian cents from 76.34 cents yesterday. It rose to 57.48 euro cents from 57.18 cents yesterday, and gained to 49.56 British pence from 49.22 pence. The kiwi rose to 62.02 yen from 61.13 yen yesterday.
The trade-weighted index rose to 69.39 from 68.84.