The data comes after the Reserve Bank held the official cash rate at 2.5 per cent, saying inflation will probably be at the bottom of its target 1 per cent to 3 per cent band in the June quarter before rising to the mid-point from next year.
New Zealand's inflation has been constrained by a resiliently high New Zealand that's kept a lid on import prices, including foreign fruit and vegetables.
Today's figures showed the price of meat, poultry and fish fell 1.5 per cent in May, while cheaper milk helped push down the price of grocery food 0.5 per cent.