Annual Consumer Price Index inflation currently sits at 5.1 per cent - compared to 6.9 per cent in New Zealand.
Last month the RBA increased interest rates for the first time in more than 11 years, with a 25-basis-point hike taking the cash rate target to 0.35 per cent.
In contrast the RBNZ started lifting rates last October and has already hiked the OCR from its record low of 0.25 per cent to 2 per cent.
"While inflation is lower than in most other advanced economies, it is higher than earlier expected," said RBA Governor Philip Lowe.
"Global factors, including Covid-related disruptions to supply chains and the war in Ukraine, account for much of this increase in inflation. But domestic factors are playing a role too, with capacity constraints in some sectors and the tight labour market contributing to the upward pressure on prices."